10013515152 has 80 divisors (see below), whose sum is σ = 27205877760. Its totient is φ = 3167531136.

The previous prime is 10013515123. The next prime is 10013515201. The reversal of 10013515152 is 25151531001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104499 + ... + 175917.

It is an arithmetic number, because the mean of its divisors is an integer number (340073472).

Almost surely, 2^10013515152 is an apocalyptic number.

10013515152 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 10013515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602938880).

10013515152 is an abundant number, since it is smaller than the sum of its proper divisors (17192362608).

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

10013515152 is a wasteful number, since it uses less digits than its factorization.

10013515152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71580 (or 71574 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

It can be divided in two parts, 1001 and 3515152, that added together give a palindrome (3516153).

The spelling of 10013515152 in words is "ten billion, thirteen million, five hundred fifteen thousand, one hundred fifty-two".