251045410120 has 128 divisors (see below), whose sum is σ = 591056870400. Its totient is φ = 95842432000.

The previous prime is 251045410043. The next prime is 251045410129. The reversal of 251045410120 is 21014540152.

It is not an unprimeable number, because it can be changed into a prime (251045410129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96890025 + ... + 96892615.

It is an arithmetic number, because the mean of its divisors is an integer number (4617631800).

Almost surely, 2^251045410120 is an apocalyptic number.

251045410120 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 251045410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295528435200).

251045410120 is an abundant number, since it is smaller than the sum of its proper divisors (340011460280).

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

251045410120 is a wasteful number, since it uses less digits than its factorization.

251045410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 251045410120 its reverse (21014540152), we get a palindrome (272059950272).

The spelling of 251045410120 in words is "two hundred fifty-one billion, forty-five million, four hundred ten thousand, one hundred twenty".