25316261352 has 192 divisors, whose sum is σ = 76239820800. Its totient is φ = 7556250240.

The previous prime is 25316261251. The next prime is 25316261357.

25316261352 is a `hidden beast` number, since 2 + 5 + 31 + 6 + 2 + 613 + 5 + 2 = 666.

25316261352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25316261357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816603 + ... + 1830485.

It is an arithmetic number, because the mean of its divisors is an integer number (397082400).

Almost surely, 2^25316261352 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 25316261352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38119910400).

25316261352 is an abundant number, since it is smaller than the sum of its proper divisors (50923559448).

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

25316261352 is a wasteful number, since it uses less digits than its factorization.

25316261352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13981 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 25316261352 in words is "twenty-five billion, three hundred sixteen million, two hundred sixty-one thousand, three hundred fifty-two".