513863064 has 192 divisors, whose sum is σ = 1692381600. Its totient is φ = 138700800.

The previous prime is 513863059. The next prime is 513863081. The reversal of 513863064 is 460368315.

513863064 is a `hidden beast` number, since 5 + 13 + 8 + 630 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297724 + ... + 299444.

Almost surely, 2^513863064 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 513863064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846190800).

513863064 is an abundant number, since it is smaller than the sum of its proper divisors (1178518536).

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

513863064 is a wasteful number, since it uses less digits than its factorization.

513863064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 513863064 is about 22668.5479023249. The cubic root of 513863064 is about 800.9691712431.

The spelling of 513863064 in words is "five hundred thirteen million, eight hundred sixty-three thousand, sixty-four".