2312505315225 has 216 divisors, whose sum is σ = 5128127816760. Its totient is φ = 989789552640.

The previous prime is 2312505315179. The next prime is 2312505315233. The reversal of 2312505315225 is 5225135052132.

2312505315225 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 50 + 531 + 52 + 25 = 666.

2312505315225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1085674389849 + 1226830925376 = 1041957^2 + 1107624^2 .

It is not a de Polignac number, because 2312505315225 - 2²¹ = 2312503218073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2312505315225.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36141061 + ... + 36204989.

It is an arithmetic number, because the mean of its divisors is an integer number (23741332485).

Almost surely, 2^{2312505315225} is an apocalyptic number.

2312505315225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2312505315225 is an abundant number, since it is smaller than the sum of its proper divisors (2815622501535).

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

2312505315225 is a wasteful number, since it uses less digits than its factorization.

2312505315225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64169 (or 64154 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2312505315225 in words is "two trillion, three hundred twelve billion, five hundred five million, three hundred fifteen thousand, two hundred twenty-five".