251401500400 has 60 divisors (see below), whose sum is σ = 613006977592. Its totient is φ = 99059685120.

The previous prime is 251401500379. The next prime is 251401500409. The reversal of 251401500400 is 4005104152.

251401500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251401500409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4663527 + ... + 4717126.

Almost surely, 2^251401500400 is an apocalyptic number.

251401500400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251401500400 is an abundant number, since it is smaller than the sum of its proper divisors (361605477192).

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

251401500400 is a wasteful number, since it uses less digits than its factorization.

251401500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380738 (or 9380727 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 251401500400 its reverse (4005104152), we get a palindrome (255406604552).

The spelling of 251401500400 in words is "two hundred fifty-one billion, four hundred one million, five hundred thousand, four hundred".