10537725 has 48 divisors (see below), whose sum is σ = 19445184. Its totient is φ = 4992000.

The previous prime is 10537721. The next prime is 10537753. The reversal of 10537725 is 52773501.

10537725 = 276² + 277² + ... + 374².

It is not a de Polignac number, because 10537725 - 2² = 10537721 is a prime.

It is a super-2 number, since 2×10537725² = 222087296351250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10537692 and 10537701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537721) by changing a digit.

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, 43605 + ... + 43845.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 2^10537725 is an apocalyptic number.

10537725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10537725 is a deficient number, since it is larger than the sum of its proper divisors (8907459).

10537725 is a wasteful number, since it uses less digits than its factorization.

10537725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 10537725 is about 3246.1862238633. The cubic root of 10537725 is about 219.2378933215.

It can be divided in two parts, 1053 and 7725, that added together give a palindrome (8778).

The spelling of 10537725 in words is "ten million, five hundred thirty-seven thousand, seven hundred twenty-five".