10525111264 has 48 divisors (see below), whose sum is σ = 21952371168. Its totient is φ = 4950249472.

The previous prime is 10525111243. The next prime is 10525111273. The reversal of 10525111264 is 46211152501.

10525111264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10525111264² (a number of 21 digits) contains 22 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1245357 + ... + 1253779.

It is an arithmetic number, because the mean of its divisors is an integer number (457341066).

Almost surely, 2^10525111264 is an apocalyptic number.

It is an amenable number.

10525111264 is an abundant number, since it is smaller than the sum of its proper divisors (11427259904).

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

10525111264 is a wasteful number, since it uses less digits than its factorization.

10525111264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 10525111264 its reverse (46211152501), we get a palindrome (56736263765).

The spelling of 10525111264 in words is "ten billion, five hundred twenty-five million, one hundred eleven thousand, two hundred sixty-four".