25213320115100 has 144 divisors (see below), whose sum is σ = 59170079518368. Its totient is φ = 9270313436160.

The previous prime is 25213320114989. The next prime is 25213320115147. The reversal of 25213320115100 is 151102331252.

It is a super-3 number, since 3×25213320115100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 25213320115100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620431982 + ... + 620472618.

Almost surely, 2^{25213320115100} is an apocalyptic number.

25213320115100 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 25213320115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29585039759184).

25213320115100 is an abundant number, since it is smaller than the sum of its proper divisors (33956759403268).

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

25213320115100 is a wasteful number, since it uses less digits than its factorization.

25213320115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42664 (or 42657 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 25213320115100 its reverse (151102331252), we get a palindrome (25364422446352).

The spelling of 25213320115100 in words is "twenty-five trillion, two hundred thirteen billion, three hundred twenty million, one hundred fifteen thousand, one hundred".