10525118464 has 117 divisors (see below), whose sum is σ = 24591405177. Its totient is φ = 4491067392.

The previous prime is 10525118449. The next prime is 10525118521. The reversal of 10525118464 is 46481152501.

The square root of 10525118464 is 102592.

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

It can be written as a sum of positive squares in only one way, i.e., 9802584064 + 722534400 = 99008^2 + 26880^2 .

It is a super-2 number, since 2×10525118464² (a number of 21 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 (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45961102 + ... + 45961330.

Almost surely, 2^10525118464 is an apocalyptic number.

10525118464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10525118464 is the 102592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10525118464

10525118464 is an abundant number, since it is smaller than the sum of its proper divisors (14066286713).

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

10525118464 is an frugal number, since it uses more digits than its factorization.

10525118464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 10525118464 in words is "ten billion, five hundred twenty-five million, one hundred eighteen thousand, four hundred sixty-four".