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2532071025 = 3252115397199
BaseRepresentation
bin1001011011101100…
…0101011001110001
320112110112112110100
42112323011121301
520141202233100
61055131023013
7116514151161
oct22673053161
96473475410
102532071025
11108a319490
125a7b9aa69
1331477aca3
141a03dc5a1
15ec463400
hex96ec5671

2532071025 has 144 divisors (see below), whose sum is σ = 5118422400. Its totient is φ = 1186099200.

The previous prime is 2532071023. The next prime is 2532071063. The reversal of 2532071025 is 5201702352.

It is not a de Polignac number, because 2532071025 - 21 = 2532071023 is a prime.

It is a super-2 number, since 2×25320710252 = 12822767351289101250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2532071025.

It is not an unprimeable number, because it can be changed into a prime (2532071023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12723876 + ... + 12724074.

It is an arithmetic number, because the mean of its divisors is an integer number (35544600).

Almost surely, 22532071025 is an apocalyptic number.

2532071025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2532071025 is an abundant number, since it is smaller than the sum of its proper divisors (2586351375).

2532071025 is a wasteful number, since it uses less digits than its factorization.

2532071025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2532071025 is about 50319.6882442648. The cubic root of 2532071025 is about 1362.9877769857.

Adding to 2532071025 its reverse (5201702352), we get a palindrome (7733773377).

It can be divided in two parts, 253 and 2071025, that multiplied together give a palindrome (523969325).

The spelling of 2532071025 in words is "two billion, five hundred thirty-two million, seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 53 55 75 97 99 159 165 199 225 265 275 291 477 485 495 583 597 795 825 873 995 1067 1325 1455 1749 1791 2189 2385 2425 2475 2915 2985 3201 3975 4365 4975 5141 5247 5335 6567 7275 8745 8955 9603 10547 10945 11925 14575 14925 15423 16005 19303 19701 21825 25705 26235 26675 31641 32835 43725 44775 46269 48015 52735 54725 56551 57909 77115 80025 94923 96515 98505 116017 128525 131175 158205 164175 169653 173727 212333 231345 240075 263675 282755 289545 348051 385575 474615 482575 492525 508959 580085 636999 791025 848265 868635 1023059 1044153 1061665 1156725 1413775 1447725 1740255 1910997 2373075 2544795 2900425 3069177 3184995 4241325 4343175 5115295 5220765 5308325 8701275 9207531 9554985 11253649 12723975 15345885 15924975 25576475 26103825 33760947 46037655 47774925 56268245 76729425 101282841 168804735 230188275 281341225 506414205 844023675 2532071025