2635508730625 has 15 divisors (see below), whose sum is σ = 3293382426367. Its totient is φ = 2108374516000.

The previous prime is 2635508730541. The next prime is 2635508730649. The reversal of 2635508730625 is 5260378055362.

The square root of 2635508730625 is 1623425.

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 916934559489 + 1718574171136 = 957567^2 + 1310944^2 .

It is not a de Polignac number, because 2635508730625 - 2⁷ = 2635508730497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40553157 + ... + 40618093.

Almost surely, 2^{2635508730625} is an apocalyptic number.

2635508730625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2635508730625 is the 1623425-th square number.

2635508730625 is the 811713-rd centered octagonal number.

It is an amenable number.

2635508730625 is a deficient number, since it is larger than the sum of its proper divisors (657873695742).

2635508730625 is an frugal number, since it uses more digits than its factorization.

2635508730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129894 (or 64942 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 52.

The spelling of 2635508730625 in words is "two trillion, six hundred thirty-five billion, five hundred eight million, seven hundred thirty thousand, six hundred twenty-five".