2408595361225 has 27 divisors (see below), whose sum is σ = 3069926322687. Its totient is φ = 1874575068480.

The previous prime is 2408595361201. The next prime is 2408595361229. The reversal of 2408595361225 is 5221635958042.

The square root of 2408595361225 is 1551965.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8711048889 + 2399884312336 = 93333^2 + 1549156^2 .

It is not a de Polignac number, because 2408595361225 - 2²⁷ = 2408461143497 is a prime.

It is a super-2 number, since 2×2408595361225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2408595361229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287109331 + ... + 287117719.

Almost surely, 2^{2408595361225} is an apocalyptic number.

2408595361225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2408595361225 is the 1551965-th square number.

2408595361225 is the 775983-rd centered octagonal number.

It is an amenable number.

2408595361225 is a deficient number, since it is larger than the sum of its proper divisors (661330961462).

2408595361225 is an frugal number, since it uses more digits than its factorization.

2408595361225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16862 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 2408595361225 in words is "two trillion, four hundred eight billion, five hundred ninety-five million, three hundred sixty-one thousand, two hundred twenty-five".