58225207401 has 39 divisors (see below), whose sum is σ = 87602413773. Its totient is φ = 38699533620.

The previous prime is 58225207387. The next prime is 58225207421. The reversal of 58225207401 is 10470252285.

It is a happy number.

The square root of 58225207401 is 241299.

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

58225207401 is a `hidden beast` number, since 5 + 8 + 225 + 20 + 7 + 401 = 666.

It is not a de Polignac number, because 58225207401 - 2⁹ = 58225206889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58225207421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 175906806 + ... + 175907136.

Almost surely, 2^58225207401 is an apocalyptic number.

58225207401 is the 241299-th square number.

58225207401 is the 120650-th centered octagonal number.

It is an amenable number.

58225207401 is a deficient number, since it is larger than the sum of its proper divisors (29377206372).

58225207401 is an frugal number, since it uses more digits than its factorization.

58225207401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Multiplying 58225207401 by its sum of digits (36), we get a square (2096107466436 = 1447794²).

Adding to 58225207401 its reverse (10470252285), we get a palindrome (68695459686).

The spelling of 58225207401 in words is "fifty-eight billion, two hundred twenty-five million, two hundred seven thousand, four hundred one".