513077388151680 has 512 divisors, whose sum is σ = 2024522031052800. Its totient is φ = 121735961026560.

The previous prime is 513077388151649. The next prime is 513077388151687. The reversal of 513077388151680 is 86151883770315.

It is a happy number.

513077388151680 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 7 + 7 + 38 + 8 + 1 + 516 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513077388151687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19781887 + ... + 37649406.

It is an arithmetic number, because the mean of its divisors is an integer number (3954144591900).

Almost surely, 2^{513077388151680} is an apocalyptic number.

It is an amenable number.

513077388151680 is an abundant number, since it is smaller than the sum of its proper divisors (1511444642901120).

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

513077388151680 is a wasteful number, since it uses less digits than its factorization.

513077388151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57431379 (or 57431361 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 513077388151680 in words is "five hundred thirteen trillion, seventy-seven billion, three hundred eighty-eight million, one hundred fifty-one thousand, six hundred eighty".