25058573401 has 9 divisors (see below), whose sum is σ = 25188893503. Its totient is φ = 24928926520.

The previous prime is 25058573389. The next prime is 25058573411. The reversal of 25058573401 is 10437585052.

The square root of 25058573401 is 158299.

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., 20377277001 + 4681296400 = 142749^2 + 68420^2 .

It is not a de Polignac number, because 25058573401 - 2⁷ = 25058573273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25058573411) 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, 49230735 + ... + 49231243.

Almost surely, 2^25058573401 is an apocalyptic number.

25058573401 is the 158299-th square number.

25058573401 is the 79150-th centered octagonal number.

It is an amenable number.

25058573401 is a deficient number, since it is larger than the sum of its proper divisors (130320102).

25058573401 is an frugal number, since it uses more digits than its factorization.

25058573401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 25058573401 in words is "twenty-five billion, fifty-eight million, five hundred seventy-three thousand, four hundred one".