513051514065144 has 24 divisors (see below), whose sum is σ = 1389514517259960. Its totient is φ = 171017171355024.

The previous prime is 513051514065113. The next prime is 513051514065151. The reversal of 513051514065144 is 441560415150315.

513051514065144 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 5 + 151 + 406 + 51 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513051514065144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3562857736492 + ... + 3562857736635.

It is an arithmetic number, because the mean of its divisors is an integer number (57896438219165).

Almost surely, 2^{513051514065144} is an apocalyptic number.

It is an amenable number.

513051514065144 is an abundant number, since it is smaller than the sum of its proper divisors (876463003194816).

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

513051514065144 is a wasteful number, since it uses less digits than its factorization.

513051514065144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125715473139 (or 7125715473132 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 513051514065144 in words is "five hundred thirteen trillion, fifty-one billion, five hundred fourteen million, sixty-five thousand, one hundred forty-four".