25822058934681 has 27 divisors (see below), whose sum is σ = 37832845825983. Its totient is φ = 16971533893440.

The previous prime is 25822058934649. The next prime is 25822058934739. The reversal of 25822058934681 is 18643985022852.

It is a happy number.

The square root of 25822058934681 is 5081541.

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

25822058934681 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 2 + 0 + 589 + 3 + 46 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1335238025625 + 24486820909056 = 1155525^2 + 4948416^2 .

It is not a de Polignac number, because 25822058934681 - 2⁵ = 25822058934649 is a prime.

It is a super-2 number, since 2×25822058934681² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25822058934641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1082356305 + ... + 1082380161.

Almost surely, 2^{25822058934681} is an apocalyptic number.

25822058934681 is the 5081541-st square number.

25822058934681 is the 2540771-st centered octagonal number.

It is an amenable number.

25822058934681 is a deficient number, since it is larger than the sum of its proper divisors (12010786891302).

25822058934681 is an frugal number, since it uses more digits than its factorization.

25822058934681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47862 (or 23931 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 25822058934681 in words is "twenty-five trillion, eight hundred twenty-two billion, fifty-eight million, nine hundred thirty-four thousand, six hundred eighty-one".