251553040 has 80 divisors (see below), whose sum is σ = 603461376. Its totient is φ = 97459200.

The previous prime is 251553019. The next prime is 251553059. The reversal of 251553040 is 40355152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 251552996 and 251553014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888739 + ... + 889021.

Almost surely, 2^251553040 is an apocalyptic number.

251553040 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 251553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301730688).

251553040 is an abundant number, since it is smaller than the sum of its proper divisors (351908336).

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

251553040 is a wasteful number, since it uses less digits than its factorization.

251553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 251553040 is about 15860.4237017805. The cubic root of 251553040 is about 631.2623048936.

It can be divided in two parts, 2515 and 53040, that added together give a palindrome (55555).

The spelling of 251553040 in words is "two hundred fifty-one million, five hundred fifty-three thousand, forty".