251053332120 has 256 divisors, whose sum is σ = 853574400000. Its totient is φ = 65621477376.

The previous prime is 251053332113. The next prime is 251053332121. The reversal of 251053332120 is 21233350152.

It is a happy number.

251053332120 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 533 + 3 + 2 + 120 = 666.

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 (251053332121) 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, 11848896 + ... + 11870064.

It is an arithmetic number, because the mean of its divisors is an integer number (3334275000).

Almost surely, 2^251053332120 is an apocalyptic number.

251053332120 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 251053332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426787200000).

251053332120 is an abundant number, since it is smaller than the sum of its proper divisors (602521067880).

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

251053332120 is a wasteful number, since it uses less digits than its factorization.

251053332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21407 (or 21397 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 251053332120 its reverse (21233350152), we get a palindrome (272286682272).

The spelling of 251053332120 in words is "two hundred fifty-one billion, fifty-three million, three hundred thirty-two thousand, one hundred twenty".