2613765625 has 21 divisors (see below), whose sum is σ = 3275172921. Its totient is φ = 2085900000.

The previous prime is 2613765619. The next prime is 2613765641. The reversal of 2613765625 is 5265673162.

The square root of 2613765625 is 51125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 2603754729 + 10010896 = 51027^2 + 3164^2 .

It is not a de Polignac number, because 2613765625 - 2²³ = 2605377017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6390421 + ... + 6390829.

Almost surely, 2^2613765625 is an apocalyptic number.

2613765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2613765625 is the 51125-th square number.

2613765625 is the 25563-rd centered octagonal number.

It is an amenable number.

2613765625 is a deficient number, since it is larger than the sum of its proper divisors (661407296).

2613765625 is an frugal number, since it uses more digits than its factorization.

2613765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 414 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The cubic root of 2613765625 is about 1377.4913509843.

The spelling of 2613765625 in words is "two billion, six hundred thirteen million, seven hundred sixty-five thousand, six hundred twenty-five".