25335144153352 has 128 divisors (see below), whose sum is σ = 55634317032960. Its totient is φ = 10687700459520.

The previous prime is 25335144153349. The next prime is 25335144153359.

25335144153352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25335144153352² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25335144153359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539791678 + ... + 539838610.

It is an arithmetic number, because the mean of its divisors is an integer number (434643101820).

Almost surely, 2^{25335144153352} is an apocalyptic number.

25335144153352 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 25335144153352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817158516480).

25335144153352 is an abundant number, since it is smaller than the sum of its proper divisors (30299172879608).

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

25335144153352 is a wasteful number, since it uses less digits than its factorization.

25335144153352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51983 (or 51979 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

It can be divided in two parts, 2533514 and 4153352, that added together give a palindrome (6686866).

The spelling of 25335144153352 in words is "twenty-five trillion, three hundred thirty-five billion, one hundred forty-four million, one hundred fifty-three thousand, three hundred fifty-two".