25079652864001 has 8 divisors (see below), whose sum is σ = 25120818068264. Its totient is φ = 25038488482560.

The previous prime is 25079652863953. The next prime is 25079652864041. The reversal of 25079652864001 is 10046825697052.

It can be written as a sum of positive squares in 4 ways, for example, as 3901948362225 + 21177704501776 = 1975335^2 + 4601924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 25079652864001 - 2²³ = 25079644475393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25079652864041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103893895 + ... + 104135011.

It is an arithmetic number, because the mean of its divisors is an integer number (3140102258533).

Almost surely, 2^{25079652864001} is an apocalyptic number.

It is an amenable number.

25079652864001 is a deficient number, since it is larger than the sum of its proper divisors (41165204263).

25079652864001 is a wasteful number, since it uses less digits than its factorization.

25079652864001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411411.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 25079652864001 in words is "twenty-five trillion, seventy-nine billion, six hundred fifty-two million, eight hundred sixty-four thousand, one".