10005317520 has 80 divisors (see below), whose sum is σ = 33836173632. Its totient is φ = 2425530880.

The previous prime is 10005317507. The next prime is 10005317533. The reversal of 10005317520 is 2571350001.

It is an interprime number because it is at equal distance from previous prime (10005317507) and next prime (10005317533).

It is a tau number, because it is divible by the number of its divisors (80).

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, 1892307 + ... + 1897586.

Almost surely, 2^10005317520 is an apocalyptic number.

10005317520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005317520 is an abundant number, since it is smaller than the sum of its proper divisors (23830856112).

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

10005317520 is a wasteful number, since it uses less digits than its factorization.

10005317520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789920 (or 3789914 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

Adding to 10005317520 its reverse (2571350001), we get a palindrome (12576667521).

The spelling of 10005317520 in words is "ten billion, five million, three hundred seventeen thousand, five hundred twenty".