25718857641 has 45 divisors (see below), whose sum is σ = 39021706119. Its totient is φ = 16881292944.

The previous prime is 25718857621. The next prime is 25718857663. The reversal of 25718857641 is 14675881752.

The square root of 25718857641 is 160371.

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

25718857641 is a `hidden beast` number, since 2 + 57 + 18 + 8 + 576 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23395232025 + 2323625616 = 152955^2 + 48204^2 .

It is not a de Polignac number, because 25718857641 - 2⁷ = 25718857513 is a prime.

It is a super-2 number, since 2×25718857641² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25718857621) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148663831 + ... + 148664003.

Almost surely, 2^25718857641 is an apocalyptic number.

25718857641 is the 160371-st square number.

25718857641 is the 80186-th centered octagonal number.

It is an amenable number.

25718857641 is a deficient number, since it is larger than the sum of its proper divisors (13302848478).

25718857641 is an frugal number, since it uses more digits than its factorization.

25718857641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 279 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 25718857641 in words is "twenty-five billion, seven hundred eighteen million, eight hundred fifty-seven thousand, six hundred forty-one".