10513988352 has 288 divisors, whose sum is σ = 37406835200. Its totient is φ = 2845642752.

The previous prime is 10513988347. The next prime is 10513988423. The reversal of 10513988352 is 25388931501.

10513988352 is a `hidden beast` number, since 1 + 0 + 513 + 9 + 8 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10513988352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513988298 and 10513988307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913578 + ... + 925014.

Almost surely, 2^10513988352 is an apocalyptic number.

10513988352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18703417600).

10513988352 is an abundant number, since it is smaller than the sum of its proper divisors (26892846848).

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

10513988352 is a wasteful number, since it uses less digits than its factorization.

10513988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11488 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10513988352 in words is "ten billion, five hundred thirteen million, nine hundred eighty-eight thousand, three hundred fifty-two".