Search a number
-
+
2513601225 = 325266116901
BaseRepresentation
bin1001010111010010…
…1000001011001001
320111011210011122200
42111310220023021
520121440214400
61053231110413
7116201154312
oct22564501311
96434704580
102513601225
11107a953893
125a1972409
133109b2205
1419bb91609
15eaa15b00
hex95d282c9

2513601225 has 36 divisors (see below), whose sum is σ = 4509216972. Its totient is φ = 1338480000.

The previous prime is 2513601173. The next prime is 2513601247. The reversal of 2513601225 is 5221063152.

It is a happy number.

2513601225 is a `hidden beast` number, since 2 + 51 + 3 + 601 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 381655296 + 2131945929 = 19536^2 + 46173^2 .

It is not a de Polignac number, because 2513601225 - 212 = 2513597129 is a prime.

It is a super-2 number, since 2×25136012252 = 12636382236643001250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140275 + ... + 157175.

It is an arithmetic number, because the mean of its divisors is an integer number (125256027).

Almost surely, 22513601225 is an apocalyptic number.

2513601225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2513601225 is a deficient number, since it is larger than the sum of its proper divisors (1995615747).

2513601225 is a wasteful number, since it uses less digits than its factorization.

2513601225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17578 (or 17570 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2513601225 is about 50135.8277582010. The cubic root of 2513601225 is about 1359.6656518418.

Adding to 2513601225 its reverse (5221063152), we get a palindrome (7734664377).

The spelling of 2513601225 in words is "two billion, five hundred thirteen million, six hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 661 1983 3305 5949 9915 16525 16901 29745 49575 50703 84505 148725 152109 253515 422525 760545 1267575 3802725 11171561 33514683 55857805 100544049 167573415 279289025 502720245 837867075 2513601225