2529610725625 has 45 divisors (see below), whose sum is σ = 3194897336059. Its totient is φ = 2002217168000.

The previous prime is 2529610725619. The next prime is 2529610725637. The reversal of 2529610725625 is 5265270169252.

The square root of 2529610725625 is 1590475.

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 2472627306681 + 56983418944 = 1572459^2 + 238712^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2529610725625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4493091594 + ... + 4493092156.

Almost surely, 2^{2529610725625} is an apocalyptic number.

2529610725625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2529610725625 is the 1590475-th square number.

2529610725625 is the 795238-th centered octagonal number.

It is an amenable number.

2529610725625 is a deficient number, since it is larger than the sum of its proper divisors (665286610434).

2529610725625 is an frugal number, since it uses more digits than its factorization.

2529610725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 2529610725625 in words is "two trillion, five hundred twenty-nine billion, six hundred ten million, seven hundred twenty-five thousand, six hundred twenty-five".