979993000013 has 16 divisors (see below), whose sum is σ = 1007867880432. Its totient is φ = 952310016000.

The previous prime is 979992999977. The next prime is 979993000033. The reversal of 979993000013 is 310000399979.

979993000013 = 699997² + 699998².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42684386404 + 937308613609 = 206602^2 + 968147^2 .

It is a cyclic number.

It is not a de Polignac number, because 979993000013 - 2⁶ = 979992999949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979993000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31563545 + ... + 31594577.

It is an arithmetic number, because the mean of its divisors is an integer number (62991742527).

Almost surely, 2^979993000013 is an apocalyptic number.

979993000013 is the 699998-th centered square number.

It is an amenable number.

979993000013 is a deficient number, since it is larger than the sum of its proper divisors (27874880419).

979993000013 is a wasteful number, since it uses less digits than its factorization.

979993000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34096.

The product of its (nonzero) digits is 413343, while the sum is 50.

The spelling of 979993000013 in words is "nine hundred seventy-nine billion, nine hundred ninety-three million, thirteen", and thus it is an aban number.