58972503933013 has 64 divisors (see below), whose sum is σ = 73008288576000. Its totient is φ = 46954626048000.

The previous prime is 58972503933011. The next prime is 58972503933023. The reversal of 58972503933013 is 31033930527985.

It is not a de Polignac number, because 58972503933013 - 2¹ = 58972503933011 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 (58972503933011) 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 63 ways as a sum of consecutive naturals, for example, 2912356113 + ... + 2912376361.

It is an arithmetic number, because the mean of its divisors is an integer number (1140754509000).

Almost surely, 2^{58972503933013} is an apocalyptic number.

It is an amenable number.

58972503933013 is a deficient number, since it is larger than the sum of its proper divisors (14035784642987).

58972503933013 is a wasteful number, since it uses less digits than its factorization.

58972503933013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38638.

The product of its (nonzero) digits is 18370800, while the sum is 58.

The spelling of 58972503933013 in words is "fifty-eight trillion, nine hundred seventy-two billion, five hundred three million, nine hundred thirty-three thousand, thirteen".