513065255254032 has 80 divisors (see below), whose sum is σ = 1427463780706880. Its totient is φ = 157856286260736.

The previous prime is 513065255254021. The next prime is 513065255254049. The reversal of 513065255254032 is 230452552560315.

It is a happy number.

It is a super-2 number, since 2×513065255254032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15986182 + ... + 35800677.

It is an arithmetic number, because the mean of its divisors is an integer number (17843297258836).

Almost surely, 2^{513065255254032} is an apocalyptic number.

513065255254032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

513065255254032 is an abundant number, since it is smaller than the sum of its proper divisors (914398525452848).

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

513065255254032 is a wasteful number, since it uses less digits than its factorization.

513065255254032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51802760 (or 51802754 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 48.

The spelling of 513065255254032 in words is "five hundred thirteen trillion, sixty-five billion, two hundred fifty-five million, two hundred fifty-four thousand, thirty-two".