25172305874401 has 9 divisors (see below), whose sum is σ = 29282110953201. Its totient is φ = 21576232074852.

The previous prime is 25172305874341. The next prime is 25172305874447. The reversal of 25172305874401 is 10447850327152.

It is a happy number.

The square root of 25172305874401 is 5017201.

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

It is not a de Polignac number, because 25172305874401 - 2⁹ = 25172305873889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25172305874101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34762036 + ... + 35478778.

It is an arithmetic number, because the mean of its divisors is an integer number (3253567883689).

Almost surely, 2^{25172305874401} is an apocalyptic number.

25172305874401 is the 5017201-st square number.

25172305874401 is the 2508601-st centered octagonal number.

It is an amenable number.

25172305874401 is a deficient number, since it is larger than the sum of its proper divisors (4109805078800).

25172305874401 is an frugal number, since it uses more digits than its factorization.

25172305874401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433500 (or 716750 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

25172305874401 divided by its sum of digits (49) gives a square (513720528049 = 716743²).

The spelling of 25172305874401 in words is "twenty-five trillion, one hundred seventy-two billion, three hundred five million, eight hundred seventy-four thousand, four hundred one".