513077757736761 has 144 divisors (see below), whose sum is σ = 878452398233280. Its totient is φ = 287649706256640.

The previous prime is 513077757736751. The next prime is 513077757736813. The reversal of 513077757736761 is 167637757770315.

513077757736761 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 77 + 75 + 77 + 367 + 61 = 666.

It is not a de Polignac number, because 513077757736761 - 2⁹ = 513077757736249 is a prime.

It is a super-2 number, since 2×513077757736761² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513077757736761.

It is not an unprimeable number, because it can be changed into a prime (513077757736751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40219305195 + ... + 40219317951.

It is an arithmetic number, because the mean of its divisors is an integer number (6100363876620).

Almost surely, 2^{513077757736761} is an apocalyptic number.

It is an amenable number.

513077757736761 is a deficient number, since it is larger than the sum of its proper divisors (365374640496519).

513077757736761 is a wasteful number, since it uses less digits than its factorization.

513077757736761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15764 (or 15754 counting only the distinct ones).

The product of its (nonzero) digits is 952956900, while the sum is 72.

The spelling of 513077757736761 in words is "five hundred thirteen trillion, seventy-seven billion, seven hundred fifty-seven million, seven hundred thirty-six thousand, seven hundred sixty-one".