513231125310 has 48 divisors (see below), whose sum is σ = 1404632558160. Its totient is φ = 129658389120.

The previous prime is 513231125293. The next prime is 513231125359. The reversal of 513231125310 is 13521132315.

513231125310 is a `hidden beast` number, since 5 + 1 + 32 + 311 + 2 + 5 + 310 = 666.

It is a super-2 number, since 2×513231125310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150065871 + ... + 150069290.

It is an arithmetic number, because the mean of its divisors is an integer number (29263178295).

Almost surely, 2^513231125310 is an apocalyptic number.

513231125310 is an abundant number, since it is smaller than the sum of its proper divisors (891401432850).

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

513231125310 is a wasteful number, since it uses less digits than its factorization.

513231125310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300135193 (or 300135190 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 513231125310 its reverse (13521132315), we get a palindrome (526752257625).

The spelling of 513231125310 in words is "five hundred thirteen billion, two hundred thirty-one million, one hundred twenty-five thousand, three hundred ten".