2525241988201 has 9 divisors (see below), whose sum is σ = 2533834710981. Its totient is φ = 2516678322912.

The previous prime is 2525241988193. The next prime is 2525241988253. The reversal of 2525241988201 is 1028891425252.

It is a happy number.

The square root of 2525241988201 is 1589101.

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

2525241988201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19796208601 + 2505445779600 = 140699^2 + 1582860^2 .

It is not a de Polignac number, because 2525241988201 - 2³ = 2525241988193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2525241988601) 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, 497386075 + ... + 497391151.

It is an arithmetic number, because the mean of its divisors is an integer number (281537190109).

Almost surely, 2^{2525241988201} is an apocalyptic number.

2525241988201 is the 1589101-st square number.

2525241988201 is the 794551-st centered octagonal number.

It is an amenable number.

2525241988201 is a deficient number, since it is larger than the sum of its proper divisors (8592722780).

2525241988201 is an frugal number, since it uses more digits than its factorization.

2525241988201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 2525241988201 by its sum of digits (49), we get a square (123736857421849 = 11123707²).

The spelling of 2525241988201 in words is "two trillion, five hundred twenty-five billion, two hundred forty-one million, nine hundred eighty-eight thousand, two hundred one".