25201880001 has 45 divisors (see below), whose sum is σ = 38969342643. Its totient is φ = 16230702240.

The previous prime is 25201879991. The next prime is 25201880017. The reversal of 25201880001 is 10008810252.

The square root of 25201880001 is 158751.

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., 4153673601 + 21048206400 = 64449^2 + 145080^2 .

It is not a de Polignac number, because 25201880001 - 2⁹ = 25201879489 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25201830001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44291245 + ... + 44291813.

Almost surely, 2^25201880001 is an apocalyptic number.

25201880001 is the 158751-st square number.

25201880001 is the 79376-th centered octagonal number.

It is an amenable number.

25201880001 is a deficient number, since it is larger than the sum of its proper divisors (13767462642).

25201880001 is an frugal number, since it uses more digits than its factorization.

25201880001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 25201880001 in words is "twenty-five billion, two hundred one million, eight hundred eighty thousand, one".