251513141140520 has 256 divisors, whose sum is σ = 670294400256000. Its totient is φ = 83104772760576.

The previous prime is 251513141140451. The next prime is 251513141140543. The reversal of 251513141140520 is 25041141315152.

It is a happy number.

It is a super-2 number, since 2×251513141140520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10460959619 + ... + 10460983661.

It is an arithmetic number, because the mean of its divisors is an integer number (2618337501000).

Almost surely, 2^{251513141140520} is an apocalyptic number.

251513141140520 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 251513141140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335147200128000).

251513141140520 is an abundant number, since it is smaller than the sum of its proper divisors (418781259115480).

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

251513141140520 is a wasteful number, since it uses less digits than its factorization.

251513141140520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432 (or 26428 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 251513141140520 its reverse (25041141315152), we get a palindrome (276554282455672).

The spelling of 251513141140520 in words is "two hundred fifty-one trillion, five hundred thirteen billion, one hundred forty-one million, one hundred forty thousand, five hundred twenty".