513354331 has 24 divisors (see below), whose sum is σ = 632075280. Its totient is φ = 414554112.

The previous prime is 513354313. The next prime is 513354397. The reversal of 513354331 is 133453315.

It is not a de Polignac number, because 513354331 - 2⁵ = 513354299 is a prime.

It is a super-2 number, since 2×513354331² = 527065338312915122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513354331.

It is not an unprimeable number, because it can be changed into a prime (513354431) 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, 178255 + ... + 181111.

It is an arithmetic number, because the mean of its divisors is an integer number (26336470).

Almost surely, 2^513354331 is an apocalyptic number.

513354331 is a deficient number, since it is larger than the sum of its proper divisors (118720949).

513354331 is a wasteful number, since it uses less digits than its factorization.

513354331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3076 counting only the distinct ones).

The product of its digits is 8100, while the sum is 28.

The square root of 513354331 is about 22657.3240035093. The cubic root of 513354331 is about 800.7047596891.

The spelling of 513354331 in words is "five hundred thirteen million, three hundred fifty-four thousand, three hundred thirty-one".