251530133220120 has 128 divisors (see below), whose sum is σ = 757699340428800. Its totient is φ = 66798513383424.

The previous prime is 251530133220101. The next prime is 251530133220131. The reversal of 251530133220120 is 21022331035152.

It is a super-4 number, since 4×251530133220120⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 98564416 + ... + 101084144.

It is an arithmetic number, because the mean of its divisors is an integer number (5919526097100).

Almost surely, 2^{251530133220120} is an apocalyptic number.

251530133220120 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 251530133220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378849670214400).

251530133220120 is an abundant number, since it is smaller than the sum of its proper divisors (506169207208680).

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

251530133220120 is a wasteful number, since it uses less digits than its factorization.

251530133220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523169 (or 2523165 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 251530133220120 its reverse (21022331035152), we get a palindrome (272552464255272).

The spelling of 251530133220120 in words is "two hundred fifty-one trillion, five hundred thirty billion, one hundred thirty-three million, two hundred twenty thousand, one hundred twenty".