513177380496 has 495 divisors, whose sum is σ = 1664154784803. Its totient is φ = 153187277760.

The previous prime is 513177380479. The next prime is 513177380501. The reversal of 513177380496 is 694083771315.

The square root of 513177380496 is 716364.

It is a perfect power (a square), and thus also a powerful number.

513177380496 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 7 + 73 + 80 + 496 = 666.

It is a super-2 number, since 2×513177380496² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 7659363855 + ... + 7659363921.

Almost surely, 2^513177380496 is an apocalyptic number.

513177380496 is the 716364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513177380496

513177380496 is an abundant number, since it is smaller than the sum of its proper divisors (1150977404307).

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

513177380496 is an frugal number, since it uses more digits than its factorization.

513177380496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 513177380496 in words is "five hundred thirteen billion, one hundred seventy-seven million, three hundred eighty thousand, four hundred ninety-six".