25517271552 has 240 divisors, whose sum is σ = 71677599840. Its totient is φ = 8064245760.

The previous prime is 25517271551. The next prime is 25517271587.

25517271552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25517271552² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25517271551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87089518 + ... + 87089810.

It is an arithmetic number, because the mean of its divisors is an integer number (298656666).

Almost surely, 2^25517271552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25517271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35838799920).

25517271552 is an abundant number, since it is smaller than the sum of its proper divisors (46160328288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25517271552 is an equidigital number, since it uses as much as digits as its factorization.

25517271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 388 counting only the distinct ones).

The product of its digits is 245000, while the sum is 42.

The spelling of 25517271552 in words is "twenty-five billion, five hundred seventeen million, two hundred seventy-one thousand, five hundred fifty-two".