58501580641 has 27 divisors (see below), whose sum is σ = 68900274009. Its totient is φ = 49527440928.

The previous prime is 58501580629. The next prime is 58501580647. The reversal of 58501580641 is 14608510585.

The square root of 58501580641 is 241871.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6656112225 + 51845468416 = 81585^2 + 227696^2 .

It is not a de Polignac number, because 58501580641 - 2²⁵ = 58468026209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58501580647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184547415 + ... + 184547731.

Almost surely, 2^58501580641 is an apocalyptic number.

58501580641 is the 241871-st square number.

58501580641 is the 120936-th centered octagonal number.

It is an amenable number.

58501580641 is a deficient number, since it is larger than the sum of its proper divisors (10398693368).

58501580641 is an frugal number, since it uses more digits than its factorization.

58501580641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 58501580641 in words is "fifty-eight billion, five hundred one million, five hundred eighty thousand, six hundred forty-one".