251225000233100 has 72 divisors (see below), whose sum is σ = 550167341724000. Its totient is φ = 99566690918400.

The previous prime is 251225000233049. The next prime is 251225000233159. The reversal of 251225000233100 is 1332000522152.

It is a happy number.

It is a super-2 number, since 2×251225000233100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251225000233100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192801601 + ... + 1193012199.

It is an arithmetic number, because the mean of its divisors is an integer number (7641213079500).

Almost surely, 2^{251225000233100} is an apocalyptic number.

251225000233100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251225000233100 is an abundant number, since it is smaller than the sum of its proper divisors (298942341490900).

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

251225000233100 is a wasteful number, since it uses less digits than its factorization.

251225000233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320163 (or 320156 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 251225000233100 its reverse (1332000522152), we get a palindrome (252557000755252).

The spelling of 251225000233100 in words is "two hundred fifty-one trillion, two hundred twenty-five billion, two hundred thirty-three thousand, one hundred".