25137785401 has 9 divisors (see below), whose sum is σ = 25266708453. Its totient is φ = 25009519260.

The previous prime is 25137785383. The next prime is 25137785417. The reversal of 25137785401 is 10458773152.

The square root of 25137785401 is 158549.

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

It is not a de Polignac number, because 25137785401 - 2⁷ = 25137785273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25137785501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52479480 + ... + 52479958.

Almost surely, 2^25137785401 is an apocalyptic number.

25137785401 is the 158549-th square number.

25137785401 is the 79275-th centered octagonal number.

It is an amenable number.

25137785401 is a deficient number, since it is larger than the sum of its proper divisors (128923052).

25137785401 is an frugal number, since it uses more digits than its factorization.

25137785401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 25137785401 in words is "twenty-five billion, one hundred thirty-seven million, seven hundred eighty-five thousand, four hundred one".