2521982205625 has 45 divisors (see below), whose sum is σ = 3181265674587. Its totient is φ = 1998687672000.

The previous prime is 2521982205623. The next prime is 2521982205679. The reversal of 2521982205625 is 5265022891252.

The square root of 2521982205625 is 1588075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 948623404729 + 1573358800896 = 973973^2 + 1254336^2 .

It is not a de Polignac number, because 2521982205625 - 2¹ = 2521982205623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2521982205623) 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, 5518560397 + ... + 5518560853.

Almost surely, 2^{2521982205625} is an apocalyptic number.

2521982205625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2521982205625 is the 1588075-th square number.

2521982205625 is the 794038-th centered octagonal number.

It is an amenable number.

2521982205625 is a deficient number, since it is larger than the sum of its proper divisors (659283468962).

2521982205625 is an frugal number, since it uses more digits than its factorization.

2521982205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

Multiplying 2521982205625 by its sum of digits (49), we get a square (123577128075625 = 11116525²).

The spelling of 2521982205625 in words is "two trillion, five hundred twenty-one billion, nine hundred eighty-two million, two hundred five thousand, six hundred twenty-five".