10521630625 has 45 divisors (see below), whose sum is σ = 14490595119. Its totient is φ = 7631580000.

The previous prime is 10521630593. The next prime is 10521630659. The reversal of 10521630625 is 52603612501.

The square root of 10521630625 is 102575.

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

10521630625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 7691816209 + 2829814416 = 87703^2 + 53196^2 .

It is not a de Polignac number, because 10521630625 - 2⁵ = 10521630593 is a prime.

It is a super-2 number, since 2×10521630625² (a number of 21 digits) contains 22 as substring.

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, 28207939 + ... + 28208311.

Almost surely, 2^10521630625 is an apocalyptic number.

10521630625 is the 102575-th square number.

10521630625 is the 51288-th centered octagonal number.

It is an amenable number.

10521630625 is a deficient number, since it is larger than the sum of its proper divisors (3968964494).

10521630625 is an frugal number, since it uses more digits than its factorization.

10521630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

It can be divided in two parts, 10521 and 630625, that added together give a palindrome (641146).

The spelling of 10521630625 in words is "ten billion, five hundred twenty-one million, six hundred thirty thousand, six hundred twenty-five".