251552100400 has 60 divisors (see below), whose sum is σ = 609112736512. Its totient is φ = 99828529920.

The previous prime is 251552100391. The next prime is 251552100413. The reversal of 251552100400 is 4001255152.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2425107 + ... + 2526706.

Almost surely, 2^251552100400 is an apocalyptic number.

251552100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251552100400 is an abundant number, since it is smaller than the sum of its proper divisors (357560636112).

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

251552100400 is a wasteful number, since it uses less digits than its factorization.

251552100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951958 (or 4951947 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 251552100400 its reverse (4001255152), we get a palindrome (255553355552).

The spelling of 251552100400 in words is "two hundred fifty-one billion, five hundred fifty-two million, one hundred thousand, four hundred".