513513432133440 has 112 divisors (see below), whose sum is σ = 1630456951139520. Its totient is φ = 136932564234240.

The previous prime is 513513432133381. The next prime is 513513432133571. The reversal of 513513432133440 is 44331234315315.

It is a junction number, because it is equal to n+sod(n) for n = 513513432133392 and 513513432133401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21787476 + ... + 38752044.

It is an arithmetic number, because the mean of its divisors is an integer number (14557651349460).

Almost surely, 2^{513513432133440} is an apocalyptic number.

It is an amenable number.

513513432133440 is an abundant number, since it is smaller than the sum of its proper divisors (1116943519006080).

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

513513432133440 is a wasteful number, since it uses less digits than its factorization.

513513432133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16996120 (or 16996110 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 513513432133440 its reverse (44331234315315), we get a palindrome (557844666448755).

The spelling of 513513432133440 in words is "five hundred thirteen trillion, five hundred thirteen billion, four hundred thirty-two million, one hundred thirty-three thousand, four hundred forty".