10506624315 has 64 divisors (see below), whose sum is σ = 18977587200. Its totient is φ = 4917513600.

The previous prime is 10506624299. The next prime is 10506624329. The reversal of 10506624315 is 51342660501.

It is not a de Polignac number, because 10506624315 - 2⁴ = 10506624299 is a prime.

It is a super-2 number, since 2×10506624315² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243146 + ... + 2247824.

It is an arithmetic number, because the mean of its divisors is an integer number (296524800).

Almost surely, 2^10506624315 is an apocalyptic number.

10506624315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10506624315 is a deficient number, since it is larger than the sum of its proper divisors (8470962885).

10506624315 is a wasteful number, since it uses less digits than its factorization.

10506624315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10506624315 in words is "ten billion, five hundred six million, six hundred twenty-four thousand, three hundred fifteen".