25335222253352 has 128 divisors (see below), whose sum is σ = 53301836937600. Its totient is φ = 11191792435200.

The previous prime is 25335222253309. The next prime is 25335222253361.

25335222253352 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214498952 + ... + 214617032.

It is an arithmetic number, because the mean of its divisors is an integer number (416420601075).

Almost surely, 2^{25335222253352} is an apocalyptic number.

25335222253352 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 25335222253352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650918468800).

25335222253352 is an abundant number, since it is smaller than the sum of its proper divisors (27966614684248).

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

25335222253352 is a wasteful number, since it uses less digits than its factorization.

25335222253352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118587 (or 118583 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 44.

It can be divided in two parts, 2533522 and 2253352, that added together give a palindrome (4786874).

The spelling of 25335222253352 in words is "twenty-five trillion, three hundred thirty-five billion, two hundred twenty-two million, two hundred fifty-three thousand, three hundred fifty-two".