58412407125601 has 9 divisors (see below), whose sum is σ = 59419686978001. Its totient is φ = 57421923044404.

The previous prime is 58412407125599. The next prime is 58412407125649. The reversal of 58412407125601 is 10652170421485.

The square root of 58412407125601 is 7642801.

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

It is not a de Polignac number, because 58412407125601 - 2¹ = 58412407125599 is a prime.

It is a super-2 number, since 2×58412407125601² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58412407125001) 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, 450860490 + ... + 450990028.

Almost surely, 2^{58412407125601} is an apocalyptic number.

58412407125601 is the 7642801-st square number.

58412407125601 is the 3821401-st centered octagonal number.

It is an amenable number.

58412407125601 is a deficient number, since it is larger than the sum of its proper divisors (1007279852400).

58412407125601 is an frugal number, since it uses more digits than its factorization.

58412407125601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259196 (or 129598 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 58412407125601 in words is "fifty-eight trillion, four hundred twelve billion, four hundred seven million, one hundred twenty-five thousand, six hundred one".