10513102500 has 180 divisors, whose sum is σ = 33557167644. Its totient is φ = 2774016000.

The previous prime is 10513102441. The next prime is 10513102541. The reversal of 10513102500 is 520131501.

10513102500 is a `hidden beast` number, since 1 + 0 + 513 + 102 + 50 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9934507584 + 578594916 = 99672^2 + 24054^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10513102500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2180092 + ... + 2184908.

Almost surely, 2^10513102500 is an apocalyptic number.

10513102500 is a gapful number since it is divisible by the number (10) 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 10513102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778583822).

10513102500 is an abundant number, since it is smaller than the sum of its proper divisors (23044065144).

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

10513102500 is a wasteful number, since it uses less digits than its factorization.

10513102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10513102500 in words is "ten billion, five hundred thirteen million, one hundred two thousand, five hundred".