10510512564 has 24 divisors (see below), whose sum is σ = 24529901760. Its totient is φ = 3502736704.

The previous prime is 10510512563. The next prime is 10510512631. The reversal of 10510512564 is 46521501501.

It is a super-2 number, since 2×10510512564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510512563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37449 + ... + 149744.

It is an arithmetic number, because the mean of its divisors is an integer number (1022079240).

Almost surely, 2^10510512564 is an apocalyptic number.

It is an amenable number.

10510512564 is an abundant number, since it is smaller than the sum of its proper divisors (14019389196).

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

10510512564 is a wasteful number, since it uses less digits than its factorization.

10510512564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191879 (or 191877 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 10510512564 in words is "ten billion, five hundred ten million, five hundred twelve thousand, five hundred sixty-four".