2172564025025 has 12 divisors (see below), whose sum is σ = 2852448767532. Its totient is φ = 1635812912640.

The previous prime is 2172564024989. The next prime is 2172564025031. The reversal of 2172564025025 is 5205204652712.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 62540506561 + 2110023518464 = 250081^2 + 1452592^2 .

It is not a de Polignac number, because 2172564025025 - 2¹⁸ = 2172563762881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2555957252 + ... + 2555958101.

It is an arithmetic number, because the mean of its divisors is an integer number (237704063961).

Almost surely, 2^{2172564025025} is an apocalyptic number.

2172564025025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2172564025025 is a deficient number, since it is larger than the sum of its proper divisors (679884742507).

2172564025025 is a wasteful number, since it uses less digits than its factorization.

2172564025025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111915380 (or 5111915375 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 41.

Adding to 2172564025025 its reverse (5205204652712), we get a palindrome (7377768677737).

The spelling of 2172564025025 in words is "two trillion, one hundred seventy-two billion, five hundred sixty-four million, twenty-five thousand, twenty-five".