77579052513 has 16 divisors (see below), whose sum is σ = 111825664320. Its totient is φ = 47673043776.

The previous prime is 77579052497. The next prime is 77579052539. The reversal of 77579052513 is 31525097577.

It is not a de Polignac number, because 77579052513 - 2⁴ = 77579052497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77579052553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18390270 + ... + 18394487.

It is an arithmetic number, because the mean of its divisors is an integer number (6989104020).

Almost surely, 2^77579052513 is an apocalyptic number.

It is an amenable number.

77579052513 is a deficient number, since it is larger than the sum of its proper divisors (34246611807).

77579052513 is a wasteful number, since it uses less digits than its factorization.

77579052513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36784816.

The product of its (nonzero) digits is 2315250, while the sum is 51.

The spelling of 77579052513 in words is "seventy-seven billion, five hundred seventy-nine million, fifty-two thousand, five hundred thirteen".