25312133121352 has 64 divisors (see below), whose sum is σ = 60287658480000. Its totient is φ = 9675797015040.

The previous prime is 25312133121323. The next prime is 25312133121377.

25312133121352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387619477 + ... + 387684772.

It is an arithmetic number, because the mean of its divisors is an integer number (941994663750).

Almost surely, 2^{25312133121352} is an apocalyptic number.

25312133121352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25312133121352 is an abundant number, since it is smaller than the sum of its proper divisors (34975525358648).

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

25312133121352 is a wasteful number, since it uses less digits than its factorization.

25312133121352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775304326 (or 775304322 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 2531213 and 3121352, that added together give a palindrome (5652565).

The spelling of 25312133121352 in words is "twenty-five trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred fifty-two".