2909361319225 has 27 divisors (see below), whose sum is σ = 3649550545543. Its totient is φ = 2300737091840.

The previous prime is 2909361319201. The next prime is 2909361319237. The reversal of 2909361319225 is 5229131639092.

The square root of 2909361319225 is 1705685.

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 2909027014569 + 334304656 = 1705587^2 + 18284^2 .

It is not a de Polignac number, because 2909361319225 - 2²⁷ = 2909227101497 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, 759027909 + ... + 759031741.

Almost surely, 2^{2909361319225} is an apocalyptic number.

2909361319225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2909361319225 is the 1705685-th square number.

2909361319225 is the 852843-rd centered octagonal number.

It is an amenable number.

2909361319225 is a deficient number, since it is larger than the sum of its proper divisors (740189226318).

2909361319225 is an frugal number, since it uses more digits than its factorization.

2909361319225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

It can be divided in two parts, 290936 and 1319225, that added together give a palindrome (1610161).

The spelling of 2909361319225 in words is "two trillion, nine hundred nine billion, three hundred sixty-one million, three hundred nineteen thousand, two hundred twenty-five".