251225124240 has 320 divisors, whose sum is σ = 838507760640. Its totient is φ = 62032988160.

The previous prime is 251225124209. The next prime is 251225124263. The reversal of 251225124240 is 42421522152.

It is a super-2 number, since 2×251225124240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 251225124198 and 251225124207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40019982 + ... + 40026258.

It is an arithmetic number, because the mean of its divisors is an integer number (2620336752).

Almost surely, 2^251225124240 is an apocalyptic number.

251225124240 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 251225124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419253880320).

251225124240 is an abundant number, since it is smaller than the sum of its proper divisors (587282636400).

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

251225124240 is a wasteful number, since it uses less digits than its factorization.

251225124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 251225124240 its reverse (42421522152), we get a palindrome (293646646392).

The spelling of 251225124240 in words is "two hundred fifty-one billion, two hundred twenty-five million, one hundred twenty-four thousand, two hundred forty".