251250265240 has 192 divisors, whose sum is σ = 624408795360. Its totient is φ = 90929479680.

The previous prime is 251250265237. The next prime is 251250265267. The reversal of 251250265240 is 42562052152.

It is a junction number, because it is equal to n+sod(n) for n = 251250265196 and 251250265205.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 70160250 + ... + 70163830.

Almost surely, 2^251250265240 is an apocalyptic number.

251250265240 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 251250265240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312204397680).

251250265240 is an abundant number, since it is smaller than the sum of its proper divisors (373158530120).

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

251250265240 is a wasteful number, since it uses less digits than its factorization.

251250265240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 251250265240 in words is "two hundred fifty-one billion, two hundred fifty million, two hundred sixty-five thousand, two hundred forty".