Search a number
-
+
2013525 = 335219157
BaseRepresentation
bin111101011100101010101
310210022001000
413223211111
51003413100
6111053513
723054223
oct7534525
93708030
102013525
111155878
12811299
13556647
143a5b13
1529b900
hex1eb955

2013525 has 48 divisors (see below), whose sum is σ = 3918400. Its totient is φ = 1010880.

The previous prime is 2013511. The next prime is 2013533. The reversal of 2013525 is 5253102.

It is a happy number.

It is not a de Polignac number, because 2013525 - 29 = 2013013 is a prime.

2013525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2013498 and 2013507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12747 + ... + 12903.

22013525 is an apocalyptic number.

2013525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2013525 is a deficient number, since it is larger than the sum of its proper divisors (1904875).

2013525 is a wasteful number, since it uses less digits than its factorization.

2013525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2013525 is about 1418.9873149539. The cubic root of 2013525 is about 126.2754743877.

Adding to 2013525 its reverse (5253102), we get a palindrome (7266627).

The spelling of 2013525 in words is "two million, thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 135 157 171 225 285 471 475 513 675 785 855 1413 1425 2355 2565 2983 3925 4239 4275 7065 8949 11775 12825 14915 21195 26847 35325 44745 74575 80541 105975 134235 223725 402705 671175 2013525