58724313561 has 9 divisors (see below), whose sum is σ = 84825058591. Its totient is φ = 39149057712.

The previous prime is 58724313559. The next prime is 58724313577. The reversal of 58724313561 is 16531342785.

It is a happy number.

The square root of 58724313561 is 242331.

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

58724313561 is a `hidden beast` number, since 5 + 8 + 72 + 4 + 3 + 13 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58372976025 + 351337536 = 241605^2 + 18744^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 58724313561 - 2¹ = 58724313559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58724313521) 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, 686605 + ... + 767381.

Almost surely, 2^58724313561 is an apocalyptic number.

58724313561 is the 242331-st square number.

58724313561 is the 121166-th centered octagonal number.

It is an amenable number.

58724313561 is a deficient number, since it is larger than the sum of its proper divisors (26100745030).

58724313561 is an frugal number, since it uses more digits than its factorization.

58724313561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161560 (or 80780 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 58724313561 in words is "fifty-eight billion, seven hundred twenty-four million, three hundred thirteen thousand, five hundred sixty-one".