513666461 has 24 divisors (see below), whose sum is σ = 653384160. Its totient is φ = 399319200.

The previous prime is 513666427. The next prime is 513666467. The reversal of 513666461 is 164666315.

It is not a de Polignac number, because 513666461 - 2²⁶ = 446557597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513666467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306935 + ... + 308603.

It is an arithmetic number, because the mean of its divisors is an integer number (27224340).

Almost surely, 2^513666461 is an apocalyptic number.

It is an amenable number.

513666461 is a deficient number, since it is larger than the sum of its proper divisors (139717699).

513666461 is a wasteful number, since it uses less digits than its factorization.

513666461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2258 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 513666461 is about 22664.2110164903. The cubic root of 513666461 is about 800.8670084685.

The spelling of 513666461 in words is "five hundred thirteen million, six hundred sixty-six thousand, four hundred sixty-one".