510313120252144 has 160 divisors (see below), whose sum is σ = 1112354480185344. Its totient is φ = 224791375011840.

The previous prime is 510313120252139. The next prime is 510313120252153. The reversal of 510313120252144 is 441252021313015.

It is a super-3 number, since 3×510313120252144³ (a number of 45 digits) contains 333 as substring.

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, 1941824977 + ... + 1942087759.

Almost surely, 2^{510313120252144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510313120252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556177240092672).

510313120252144 is an abundant number, since it is smaller than the sum of its proper divisors (602041359933200).

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

510313120252144 is a wasteful number, since it uses less digits than its factorization.

510313120252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264855 (or 264849 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 510313120252144 its reverse (441252021313015), we get a palindrome (951565141565159).

The spelling of 510313120252144 in words is "five hundred ten trillion, three hundred thirteen billion, one hundred twenty million, two hundred fifty-two thousand, one hundred forty-four".