251355331501340 has 192 divisors, whose sum is σ = 590201955657216. Its totient is φ = 89148608640000.

The previous prime is 251355331501321. The next prime is 251355331501349. The reversal of 251355331501340 is 43105133553152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251355331501349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1034386055 + ... + 1034629025.

It is an arithmetic number, because the mean of its divisors is an integer number (3073968519048).

Almost surely, 2^{251355331501340} is an apocalyptic number.

251355331501340 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 251355331501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295100977828608).

251355331501340 is an abundant number, since it is smaller than the sum of its proper divisors (338846624155876).

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

251355331501340 is a wasteful number, since it uses less digits than its factorization.

251355331501340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243700 (or 243698 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 41.

The spelling of 251355331501340 in words is "two hundred fifty-one trillion, three hundred fifty-five billion, three hundred thirty-one million, five hundred one thousand, three hundred forty".