58418406601 has 9 divisors (see below), whose sum is σ = 61659730503. Its totient is φ = 55339403040.

The previous prime is 58418406593. The next prime is 58418406659. The reversal of 58418406601 is 10660481485.

The square root of 58418406601 is 241699.

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., 51301797001 + 7116609600 = 226499^2 + 84360^2 .

It is not a de Polignac number, because 58418406601 - 2³ = 58418406593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58418406401) 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, 4585921 + ... + 4598641.

It is an arithmetic number, because the mean of its divisors is an integer number (6851081167).

Almost surely, 2^58418406601 is an apocalyptic number.

58418406601 is the 241699-th square number.

58418406601 is the 120850-th centered octagonal number.

It is an amenable number.

58418406601 is a deficient number, since it is larger than the sum of its proper divisors (3241323902).

58418406601 is an frugal number, since it uses more digits than its factorization.

58418406601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25480 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 58418406601 in words is "fifty-eight billion, four hundred eighteen million, four hundred six thousand, six hundred one".