5858573361601 has 9 divisors (see below), whose sum is σ = 6053733462753. Its totient is φ = 5669514510660.

The previous prime is 5858573361587. The next prime is 5858573361629. The reversal of 5858573361601 is 1061633758585.

The square root of 5858573361601 is 2420449.

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

It is not a de Polignac number, because 5858573361601 - 2²³ = 5858564972993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5858573361661) 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, 74994880 + ... + 75072958.

It is an arithmetic number, because the mean of its divisors is an integer number (672637051417).

Almost surely, 2^{5858573361601} is an apocalyptic number.

5858573361601 is the 2420449-th square number.

5858573361601 is the 1210225-th centered octagonal number.

It is an amenable number.

5858573361601 is a deficient number, since it is larger than the sum of its proper divisors (195160101152).

5858573361601 is an frugal number, since it uses more digits than its factorization.

5858573361601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156220 (or 78110 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 5858573361601 in words is "five trillion, eight hundred fifty-eight billion, five hundred seventy-three million, three hundred sixty-one thousand, six hundred one".