2912261706225 has 63 divisors (see below), whose sum is σ = 5414758301809. Its totient is φ = 1553083372800.

The previous prime is 2912261706169. The next prime is 2912261706247. The reversal of 2912261706225 is 5226071622192.

The square root of 2912261706225 is 1706535.

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

2912261706225 is a `hidden beast` number, since 2 + 9 + 1 + 2 + 2 + 6 + 17 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1828555722081 + 1083705984144 = 1352241^2 + 1041012^2 .

It is not a de Polignac number, because 2912261706225 - 2²⁵ = 2912228151793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 230375905 + ... + 230388545.

Almost surely, 2^{2912261706225} is an apocalyptic number.

2912261706225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2912261706225 is the 1706535-th square number.

2912261706225 is the 853268-th centered octagonal number.

It is an amenable number.

2912261706225 is a deficient number, since it is larger than the sum of its proper divisors (2502496595584).

2912261706225 is an frugal number, since it uses more digits than its factorization.

2912261706225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25310 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2912261706225 in words is "two trillion, nine hundred twelve billion, two hundred sixty-one million, seven hundred six thousand, two hundred twenty-five".