58060117638961 has 9 divisors (see below), whose sum is σ = 58154931776299. Its totient is φ = 57965457869824.

The previous prime is 58060117638937. The next prime is 58060117638983. The reversal of 58060117638961 is 16983671106085.

The square root of 58060117638961 is 7619719.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40655735154225 + 17404382484736 = 6376185^2 + 4171856^2 .

It is not a de Polignac number, because 58060117638961 - 2⁹ = 58060117638449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58060117638961.

It is not an unprimeable number, because it can be changed into a prime (58060117638161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4929952305 + ... + 4929964081.

Almost surely, 2^{58060117638961} is an apocalyptic number.

58060117638961 is the 7619719-th square number.

58060117638961 is the 3809860-th centered octagonal number.

It is an amenable number.

58060117638961 is a deficient number, since it is larger than the sum of its proper divisors (94814137338).

58060117638961 is an frugal number, since it uses more digits than its factorization.

58060117638961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24848 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 58060117638961 in words is "fifty-eight trillion, sixty billion, one hundred seventeen million, six hundred thirty-eight thousand, nine hundred sixty-one".