10513680010 has 32 divisors (see below), whose sum is σ = 19898168400. Its totient is φ = 3993884160.

The previous prime is 10513680007. The next prime is 10513680019. The reversal of 10513680010 is 1008631501.

It can be written as a sum of positive squares in 8 ways, for example, as 1482789049 + 9030890961 = 38507^2 + 95031^2 .

It is a super-2 number, since 2×10513680010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513680019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279475 + ... + 314854.

Almost surely, 2^10513680010 is an apocalyptic number.

10513680010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10513680010 is a deficient number, since it is larger than the sum of its proper divisors (9384488390).

10513680010 is a wasteful number, since it uses less digits than its factorization.

10513680010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594426.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10513680010 in words is "ten billion, five hundred thirteen million, six hundred eighty thousand, ten".