25135513314000 has 160 divisors (see below), whose sum is σ = 81061823556480. Its totient is φ = 6700741632000.

The previous prime is 25135513313987. The next prime is 25135513314029. The reversal of 25135513314000 is 41331553152.

It is a congruent number.

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, 18911280 + ... + 20196720.

It is an arithmetic number, because the mean of its divisors is an integer number (506636397228).

Almost surely, 2^{25135513314000} is an apocalyptic number.

25135513314000 is a gapful number since it is divisible by the number (20) 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 25135513314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40530911778240).

25135513314000 is an abundant number, since it is smaller than the sum of its proper divisors (55926310242480).

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

25135513314000 is a wasteful number, since it uses less digits than its factorization.

25135513314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288726 (or 1288710 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 25135513314000 its reverse (41331553152), we get a palindrome (25176844867152).

The spelling of 25135513314000 in words is "twenty-five trillion, one hundred thirty-five billion, five hundred thirteen million, three hundred fourteen thousand".