59113968961 has 16 divisors (see below), whose sum is σ = 60767074368. Its totient is φ = 57471321600.

The previous prime is 59113968929. The next prime is 59113968989. The reversal of 59113968961 is 16986931195.

It is a cyclic number.

It is not a de Polignac number, because 59113968961 - 2⁵ = 59113968929 is a prime.

It is a super-2 number, since 2×59113968961² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59113968896 and 59113968905.

It is not an unprimeable number, because it can be changed into a prime (59113968161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15987865 + ... + 15991561.

It is an arithmetic number, because the mean of its divisors is an integer number (3797942148).

Almost surely, 2^59113968961 is an apocalyptic number.

It is an amenable number.

59113968961 is a deficient number, since it is larger than the sum of its proper divisors (1653105407).

59113968961 is a wasteful number, since it uses less digits than its factorization.

59113968961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992.

The product of its digits is 3149280, while the sum is 58.

The spelling of 59113968961 in words is "fifty-nine billion, one hundred thirteen million, nine hundred sixty-eight thousand, nine hundred sixty-one".