513004668 has 48 divisors (see below), whose sum is σ = 1316663040. Its totient is φ = 155451120.

The previous prime is 513004651. The next prime is 513004691. The reversal of 513004668 is 866400315.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 88 + ... + 32031.

It is an arithmetic number, because the mean of its divisors is an integer number (27430480).

Almost surely, 2^513004668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513004668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658331520).

513004668 is an abundant number, since it is smaller than the sum of its proper divisors (803658372).

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

513004668 is a wasteful number, since it uses less digits than its factorization.

513004668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32159 (or 32135 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 513004668 is about 22649.6063541952. The cubic root of 513004668 is about 800.5229226987.

The spelling of 513004668 in words is "five hundred thirteen million, four thousand, six hundred sixty-eight".