513334377 has 12 divisors (see below), whose sum is σ = 741761280. Its totient is φ = 342094488.

The previous prime is 513334351. The next prime is 513334399. The reversal of 513334377 is 773433315.

It is a happy number.

513334377 is a `hidden beast` number, since 513 + 33 + 43 + 77 = 666.

It is not a de Polignac number, because 513334377 - 2¹⁴ = 513317993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513335377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18928 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (61813440).

Almost surely, 2^513334377 is an apocalyptic number.

It is an amenable number.

513334377 is a deficient number, since it is larger than the sum of its proper divisors (228426903).

513334377 is a wasteful number, since it uses less digits than its factorization.

513334377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21412 (or 21409 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 513334377 is about 22656.8836559665. The cubic root of 513334377 is about 800.6943851331.

The spelling of 513334377 in words is "five hundred thirteen million, three hundred thirty-four thousand, three hundred seventy-seven".