958309106013 has 24 divisors (see below), whose sum is σ = 1583101520000. Its totient is φ = 547213726944.

The previous prime is 958309105967. The next prime is 958309106017. The reversal of 958309106013 is 310601903859.

958309106013 is a `hidden beast` number, since 9 + 5 + 8 + 30 + 9 + 1 + 0 + 601 + 3 = 666.

It is not a de Polignac number, because 958309106013 - 2⁸ = 958309105757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 958309106013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958309106017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348338 + ... + 5524611.

Almost surely, 2^958309106013 is an apocalyptic number.

It is an amenable number.

958309106013 is a deficient number, since it is larger than the sum of its proper divisors (624792413987).

958309106013 is a wasteful number, since it uses less digits than its factorization.

958309106013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874361 (or 10874358 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 958309106013 in words is "nine hundred fifty-eight billion, three hundred nine million, one hundred six thousand, thirteen".