2564312855625 has 30 divisors (see below), whose sum is σ = 4628527729826. Its totient is φ = 1367633520000.

The previous prime is 2564312855623. The next prime is 2564312855669. The reversal of 2564312855625 is 5265582134652.

2564312855625 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 3 + 1 + 2 + 8 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1717596346041 + 846716509584 = 1310571^2 + 920172^2 .

It is not a de Polignac number, because 2564312855625 - 2¹ = 2564312855623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564312855623) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 227933296 + ... + 227944545.

Almost surely, 2^{2564312855625} is an apocalyptic number.

2564312855625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564312855625 is a deficient number, since it is larger than the sum of its proper divisors (2064214874201).

2564312855625 is an equidigital number, since it uses as much as digits as its factorization.

2564312855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455877867 (or 455877849 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 2564312855625 in words is "two trillion, five hundred sixty-four billion, three hundred twelve million, eight hundred fifty-five thousand, six hundred twenty-five".