513352123320 has 128 divisors (see below), whose sum is σ = 1543086858240. Its totient is φ = 136624857600.

The previous prime is 513352123313. The next prime is 513352123321. The reversal of 513352123320 is 23321253315.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513352123321) 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, 189637407 + ... + 189640113.

It is an arithmetic number, because the mean of its divisors is an integer number (12055366080).

Almost surely, 2^513352123320 is an apocalyptic number.

It is an amenable number.

513352123320 is an abundant number, since it is smaller than the sum of its proper divisors (1029734734920).

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

513352123320 is a wasteful number, since it uses less digits than its factorization.

513352123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 513352123320 its reverse (23321253315), we get a palindrome (536673376635).

It can be divided in two parts, 51335 and 2123320, that added together give a triangular number (2174655 = T₂₀₈₅).

The spelling of 513352123320 in words is "five hundred thirteen billion, three hundred fifty-two million, one hundred twenty-three thousand, three hundred twenty".