10513564362 has 144 divisors (see below), whose sum is σ = 27765234432. Its totient is φ = 2861369280.

The previous prime is 10513564349. The next prime is 10513564363. The reversal of 10513564362 is 26346531501.

10513564362 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 5 + 643 + 6 + 2 = 666.

It is a super-2 number, since 2×10513564362² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513564363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5618287 + ... + 5620157.

It is an arithmetic number, because the mean of its divisors is an integer number (192814128).

Almost surely, 2^10513564362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513564362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882617216).

10513564362 is an abundant number, since it is smaller than the sum of its proper divisors (17251670070).

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

10513564362 is a wasteful number, since it uses less digits than its factorization.

10513564362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10513564362 in words is "ten billion, five hundred thirteen million, five hundred sixty-four thousand, three hundred sixty-two".