2510117392225 has 27 divisors (see below), whose sum is σ = 3187046207673. Its totient is φ = 1961127887040.

The previous prime is 2510117392171. The next prime is 2510117392291. The reversal of 2510117392225 is 5222937110152.

It is a happy number.

The square root of 2510117392225 is 1584335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 316483879761 + 2193633512464 = 562569^2 + 1481092^2 .

It is not a de Polignac number, because 2510117392225 - 2⁹ = 2510117391713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340628341 + ... + 340635709.

Almost surely, 2^{2510117392225} is an apocalyptic number.

2510117392225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2510117392225 is the 1584335-th square number.

2510117392225 is the 792168-th centered octagonal number.

It is an amenable number.

2510117392225 is a deficient number, since it is larger than the sum of its proper divisors (676928815448).

2510117392225 is an frugal number, since it uses more digits than its factorization.

2510117392225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14834 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 2510117392225 in words is "two trillion, five hundred ten billion, one hundred seventeen million, three hundred ninety-two thousand, two hundred twenty-five".