251413321340 has 96 divisors (see below), whose sum is σ = 547313614848. Its totient is φ = 96909120000.

The previous prime is 251413321339. The next prime is 251413321391. The reversal of 251413321340 is 43123314152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218429765 + ... + 218430915.

It is an arithmetic number, because the mean of its divisors is an integer number (5701183488).

Almost surely, 2^251413321340 is an apocalyptic number.

251413321340 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 251413321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273656807424).

251413321340 is an abundant number, since it is smaller than the sum of its proper divisors (295900293508).

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

251413321340 is a wasteful number, since it uses less digits than its factorization.

251413321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 251413321340 its reverse (43123314152), we get a palindrome (294536635492).

The spelling of 251413321340 in words is "two hundred fifty-one billion, four hundred thirteen million, three hundred twenty-one thousand, three hundred forty".