10509530256 has 45 divisors (see below), whose sum is σ = 29415531379. Its totient is φ = 3502766688.

The previous prime is 10509530179. The next prime is 10509530261. The reversal of 10509530256 is 65203590501.

The square root of 10509530256 is 102516.

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

It is a super-2 number, since 2×10509530256² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10509530256.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1225921 + ... + 1234463.

Almost surely, 2^10509530256 is an apocalyptic number.

10509530256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10509530256 is the 102516-th square number.

It is an amenable number.

10509530256 is an abundant number, since it is smaller than the sum of its proper divisors (18906001123).

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

10509530256 is an frugal number, since it uses more digits than its factorization.

10509530256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Multiplying 10509530256 by its sum of digits (36), we get a square (378343089216 = 615096²).

10509530256 divided by its sum of digits (36) gives a square (291931396 = 17086²).

The spelling of 10509530256 in words is "ten billion, five hundred nine million, five hundred thirty thousand, two hundred fifty-six".