10537587207225 has 405 divisors, whose sum is σ = 21962734789149. Its totient is φ = 4992342076800.

The previous prime is 10537587207149. The next prime is 10537587207263. The reversal of 10537587207225 is 52270278573501.

The square root of 10537587207225 is 3246165.

It is a perfect power (a square), and thus also a powerful number.

10537587207225 is a `hidden beast` number, since 1 + 0 + 5 + 37 + 587 + 2 + 0 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2716078690809 + 7821508516416 = 1648053^2 + 2796696^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 10537587207225 - 2¹³ = 10537587199033 is a prime.

It is a super-2 number, since 2×10537587207225² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 58869202186 + ... + 58869202364.

Almost surely, 2^{10537587207225} is an apocalyptic number.

10537587207225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10537587207225 is the 3246165-th square number.

10537587207225 is the 1623083-rd centered octagonal number.

It is an amenable number.

10537587207225 is an abundant number, since it is smaller than the sum of its proper divisors (11425147581924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10537587207225 is an equidigital number, since it uses as much as digits as its factorization.

10537587207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 10537587207225 in words is "ten trillion, five hundred thirty-seven billion, five hundred eighty-seven million, two hundred seven thousand, two hundred twenty-five".