25597873495971 has 48 divisors (see below), whose sum is σ = 43078958709696. Its totient is φ = 14343083958528.

The previous prime is 25597873495919. The next prime is 25597873496023. The reversal of 25597873495971 is 17959437879552.

25597873495971 is a `hidden beast` number, since 2 + 5 + 59 + 7 + 8 + 7 + 3 + 495 + 9 + 71 = 666.

It is an interprime number because it is at equal distance from previous prime (25597873495919) and next prime (25597873496023).

It is not a de Polignac number, because 25597873495971 - 2¹⁵ = 25597873463203 is a prime.

It is a super-2 number, since 2×25597873495971² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25597873497971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3574621 + ... + 7998353.

It is an arithmetic number, because the mean of its divisors is an integer number (897478306452).

Almost surely, 2^{25597873495971} is an apocalyptic number.

25597873495971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25597873495971 is a deficient number, since it is larger than the sum of its proper divisors (17481085213725).

25597873495971 is a wasteful number, since it uses less digits than its factorization.

25597873495971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425532 (or 4425529 counting only the distinct ones).

The product of its digits is 6001128000, while the sum is 81.

The spelling of 25597873495971 in words is "twenty-five trillion, five hundred ninety-seven billion, eight hundred seventy-three million, four hundred ninety-five thousand, nine hundred seventy-one".