13537525 has 24 divisors (see below), whose sum is σ = 18139464. Its totient is φ = 9984000.

The previous prime is 13537493. The next prime is 13537541. The reversal of 13537525 is 52573531.

13537525 = 490² + 491² + ... + 540².

It can be written as a sum of positive squares in 12 ways, for example, as 97969 + 13439556 = 313^2 + 3666^2 .

It is not a de Polignac number, because 13537525 - 2⁵ = 13537493 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 22225 + ... + 22825.

It is an arithmetic number, because the mean of its divisors is an integer number (755811).

Almost surely, 2^13537525 is an apocalyptic number.

It is an amenable number.

13537525 is a deficient number, since it is larger than the sum of its proper divisors (4601939).

13537525 is a wasteful number, since it uses less digits than its factorization.

13537525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its digits is 15750, while the sum is 31.

The square root of 13537525 is about 3679.3375762493. The cubic root of 13537525 is about 238.3305730469.

The spelling of 13537525 in words is "thirteen million, five hundred thirty-seven thousand, five hundred twenty-five".