2530565100625 has 135 divisors (see below), whose sum is σ = 3563337311589. Its totient is φ = 1795921344000.

The previous prime is 2530565100601. The next prime is 2530565100643. The reversal of 2530565100625 is 5260015650352.

It is a happy number.

The square root of 2530565100625 is 1590775.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1592929224769 + 937635875856 = 1262113^2 + 968316^2 .

It is not a de Polignac number, because 2530565100625 - 2¹¹ = 2530565098577 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12845508027 + ... + 12845508223.

Almost surely, 2^{2530565100625} is an apocalyptic number.

2530565100625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2530565100625 is the 1590775-th square number.

2530565100625 is the 795388-th centered octagonal number.

It is an amenable number.

2530565100625 is a deficient number, since it is larger than the sum of its proper divisors (1032772210964).

2530565100625 is an frugal number, since it uses more digits than its factorization.

2530565100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 2530565100625 in words is "two trillion, five hundred thirty billion, five hundred sixty-five million, one hundred thousand, six hundred twenty-five".