251115034140 has 96 divisors (see below), whose sum is σ = 781823085120. Its totient is φ = 66914611200.

The previous prime is 251115034139. The next prime is 251115034141. The reversal of 251115034140 is 41430511152.

251115034140 is a `hidden beast` number, since 2 + 5 + 1 + 11 + 503 + 4 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (251115034139) and next prime (251115034141).

It is a super-2 number, since 2×251115034140² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251115034141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 564100 + ... + 905780.

It is an arithmetic number, because the mean of its divisors is an integer number (8143990470).

Almost surely, 2^251115034140 is an apocalyptic number.

251115034140 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 251115034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390911542560).

251115034140 is an abundant number, since it is smaller than the sum of its proper divisors (530708050980).

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

251115034140 is a wasteful number, since it uses less digits than its factorization.

251115034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343060 (or 343052 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 251115034140 its reverse (41430511152), we get a palindrome (292545545292).

The spelling of 251115034140 in words is "two hundred fifty-one billion, one hundred fifteen million, thirty-four thousand, one hundred forty".