25522100500 has 96 divisors (see below), whose sum is σ = 61650939168. Its totient is φ = 9168768000.

The previous prime is 25522100473. The next prime is 25522100501. The reversal of 25522100500 is 500122552.

It can be written as a sum of positive squares in 16 ways, for example, as 12155503504 + 13366596996 = 110252^2 + 115614^2 .

It is a super-2 number, since 2×25522100500² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25522100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187440 + ... + 293560.

It is an arithmetic number, because the mean of its divisors is an integer number (642197283).

Almost surely, 2^25522100500 is an apocalyptic number.

25522100500 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 25522100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30825469584).

25522100500 is an abundant number, since it is smaller than the sum of its proper divisors (36128838668).

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

25522100500 is a wasteful number, since it uses less digits than its factorization.

25522100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106190 (or 106178 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 25522100500 in words is "twenty-five billion, five hundred twenty-two million, one hundred thousand, five hundred".