25133253938100 has 864 divisors, whose sum is σ = 101774223532800. Its totient is φ = 5033987481600.

The previous prime is 25133253938069. The next prime is 25133253938137. The reversal of 25133253938100 is 183935233152.

25133253938100 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 3 + 2 + 539 + 3 + 8 + 100 = 666.

It is a super-2 number, since 2×25133253938100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1239974766 + ... + 1239995034.

It is an arithmetic number, because the mean of its divisors is an integer number (117794240200).

Almost surely, 2^{25133253938100} is an apocalyptic number.

25133253938100 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 25133253938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50887111766400).

25133253938100 is an abundant number, since it is smaller than the sum of its proper divisors (76640969594700).

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

25133253938100 is a wasteful number, since it uses less digits than its factorization.

25133253938100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20953 (or 20943 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 25133253938100 in words is "twenty-five trillion, one hundred thirty-three billion, two hundred fifty-three million, nine hundred thirty-eight thousand, one hundred".