513577189449 has 15 divisors (see below), whose sum is σ = 767205189597. Its totient is φ = 342380493108.

The previous prime is 513577189427. The next prime is 513577189457. The reversal of 513577189449 is 944981775315.

The square root of 513577189449 is 716643.

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

513577189449 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 7 + 7 + 189 + 449 = 666.

It is not a de Polignac number, because 513577189449 - 2³⁵ = 479217451081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513577189409) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 6409974 + ... + 6489600.

Almost surely, 2^513577189449 is an apocalyptic number.

513577189449 is the 716643-rd square number.

513577189449 is the 358322-nd centered octagonal number.

It is an amenable number.

513577189449 is a deficient number, since it is larger than the sum of its proper divisors (253628000148).

513577189449 is an frugal number, since it uses more digits than its factorization.

513577189449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159266 (or 79630 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 513577189449 in words is "five hundred thirteen billion, five hundred seventy-seven million, one hundred eighty-nine thousand, four hundred forty-nine".