2315220912225 has 405 divisors, whose sum is σ = 4954231926813. Its totient is φ = 1072753943040.

The previous prime is 2315220912197. The next prime is 2315220912241. The reversal of 2315220912225 is 5222190225132.

The square root of 2315220912225 is 1521585.

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

2315220912225 is a `hidden beast` number, since 2 + 3 + 1 + 522 + 0 + 9 + 122 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 2307339734049 + 7881178176 = 1518993^2 + 88776^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 2315220912225 - 2³¹ = 2313073428577 is a prime.

It is a super-4 number, since 4×2315220912225⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2315220912225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 136189465417 + ... + 136189465433.

Almost surely, 2^{2315220912225} is an apocalyptic number.

2315220912225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2315220912225 is the 1521585-th square number.

2315220912225 is the 760793-rd centered octagonal number.

It is an amenable number.

2315220912225 is an abundant number, since it is smaller than the sum of its proper divisors (2639011014588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2315220912225 is an frugal number, since it uses more digits than its factorization.

2315220912225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 2315220912225 by its sum of digits (36), we get a square (83347952840100 = 9129510²).

The spelling of 2315220912225 in words is "two trillion, three hundred fifteen billion, two hundred twenty million, nine hundred twelve thousand, two hundred twenty-five".