58990095611001 has 33 divisors (see below), whose sum is σ = 88487443530661. Its totient is φ = 39325486166172.

The previous prime is 58990095610987. The next prime is 58990095611003. The reversal of 58990095611001 is 10011659009985.

The square root of 58990095611001 is 7680501.

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

58990095611001 is a `hidden beast` number, since 589 + 9 + 0 + 0 + 9 + 56 + 1 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 58990095611001 - 2³⁵ = 58955735872633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58990095611003) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1866345940 + ... + 1866377546.

Almost surely, 2^{58990095611001} is an apocalyptic number.

58990095611001 is the 7680501-st square number.

58990095611001 is the 3840251-st centered octagonal number.

It is an amenable number.

58990095611001 is a deficient number, since it is larger than the sum of its proper divisors (29497347919660).

58990095611001 is an frugal number, since it uses more digits than its factorization.

58990095611001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63244 (or 31610 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 58990095611001 in words is "fifty-eight trillion, nine hundred ninety billion, ninety-five million, six hundred eleven thousand, one".