10515265425625 has 45 divisors (see below), whose sum is σ = 13242887617113. Its totient is φ = 8346774150000.

The previous prime is 10515265425563. The next prime is 10515265425631. The reversal of 10515265425625 is 52652456251501.

The square root of 10515265425625 is 3242725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 824396809369 + 9690868616256 = 907963^2 + 3113016^2 .

It is not a de Polignac number, because 10515265425625 - 2²¹ = 10515263328473 is a prime.

It is a super-2 number, since 2×10515265425625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12241286446 + ... + 12241287304.

Almost surely, 2^{10515265425625} is an apocalyptic number.

10515265425625 is the 3242725-th square number.

10515265425625 is the 1621363-rd centered octagonal number.

It is an amenable number.

10515265425625 is a deficient number, since it is larger than the sum of its proper divisors (2727622191488).

10515265425625 is an frugal number, since it uses more digits than its factorization.

10515265425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 49.

Multiplying 10515265425625 by its sum of digits (49), we get a square (515248005855625 = 22699075²).

The spelling of 10515265425625 in words is "ten trillion, five hundred fifteen billion, two hundred sixty-five million, four hundred twenty-five thousand, six hundred twenty-five".