25313533531352 has 128 divisors (see below), whose sum is σ = 53402177664000. Its totient is φ = 11150378803200.

The previous prime is 25313533531303. The next prime is 25313533531379.

25313533531352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243223358 + ... + 243327410.

It is an arithmetic number, because the mean of its divisors is an integer number (417204513000).

Almost surely, 2^{25313533531352} is an apocalyptic number.

25313533531352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25313533531352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701088832000).

25313533531352 is an abundant number, since it is smaller than the sum of its proper divisors (28088644132648).

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

25313533531352 is a wasteful number, since it uses less digits than its factorization.

25313533531352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104697 (or 104693 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 44.

The spelling of 25313533531352 in words is "twenty-five trillion, three hundred thirteen billion, five hundred thirty-three million, five hundred thirty-one thousand, three hundred fifty-two".