251424005200 has 30 divisors (see below), whose sum is σ = 604046173454. Its totient is φ = 100569601920.

The previous prime is 251424005143. The next prime is 251424005221. The reversal of 251424005200 is 2500424152.

251424005200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4542220816 + 246881784384 = 67396^2 + 496872^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 314279607 + ... + 314280406.

Almost surely, 2^251424005200 is an apocalyptic number.

251424005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251424005200 is an abundant number, since it is smaller than the sum of its proper divisors (352622168254).

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

251424005200 is a wasteful number, since it uses less digits than its factorization.

251424005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628560031 (or 628560020 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 251424005200 its reverse (2500424152), we get a palindrome (253924429352).

The spelling of 251424005200 in words is "two hundred fifty-one billion, four hundred twenty-four million, five thousand, two hundred".