25738870075801 has 9 divisors (see below), whose sum is σ = 25769290249053. Its totient is φ = 25708485788640.

The previous prime is 25738870075741. The next prime is 25738870075837. The reversal of 25738870075801 is 10857007883752.

The square root of 25738870075801 is 5073349.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1421939387401 + 24316930688400 = 1192451^2 + 4931220^2 .

It is not a de Polignac number, because 25738870075801 - 2⁷ = 25738870075673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25738870075801.

It is not an unprimeable number, because it can be changed into a prime (25738870075301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5179886845 + ... + 5179891813.

It is an arithmetic number, because the mean of its divisors is an integer number (2863254472117).

Almost surely, 2^{25738870075801} is an apocalyptic number.

25738870075801 is the 5073349-th square number.

25738870075801 is the 2536675-th centered octagonal number.

It is an amenable number.

25738870075801 is a deficient number, since it is larger than the sum of its proper divisors (30420173252).

25738870075801 is an frugal number, since it uses more digits than its factorization.

25738870075801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 61.

The spelling of 25738870075801 in words is "twenty-five trillion, seven hundred thirty-eight billion, eight hundred seventy million, seventy-five thousand, eight hundred one".