513422342512344 has 160 divisors (see below), whose sum is σ = 1529298726595200. Its totient is φ = 160370296796160.

The previous prime is 513422342512223. The next prime is 513422342512369. The reversal of 513422342512344 is 443215243224315.

513422342512344 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 22 + 34 + 251 + 2 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513422342512344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99239272 + ... + 104284599.

It is an arithmetic number, because the mean of its divisors is an integer number (9558117041220).

Almost surely, 2^{513422342512344} is an apocalyptic number.

513422342512344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513422342512344 is an abundant number, since it is smaller than the sum of its proper divisors (1015876384082856).

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

513422342512344 is a wasteful number, since it uses less digits than its factorization.

513422342512344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203524135 (or 203524122 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 513422342512344 its reverse (443215243224315), we get a palindrome (956637585736659).

The spelling of 513422342512344 in words is "five hundred thirteen trillion, four hundred twenty-two billion, three hundred forty-two million, five hundred twelve thousand, three hundred forty-four".