513810864 has 420 divisors, whose sum is σ = 1854077760. Its totient is φ = 137168640.

The previous prime is 513810841. The next prime is 513810877. The reversal of 513810864 is 468018315.

513810864 is a `hidden beast` number, since 513 + 81 + 0 + 8 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16574529 + ... + 16574559.

Almost surely, 2^513810864 is an apocalyptic number.

513810864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513810864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927038880).

513810864 is an abundant number, since it is smaller than the sum of its proper divisors (1340266896).

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

513810864 is a wasteful number, since it uses less digits than its factorization.

513810864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 513810864 is about 22667.3964980542. The cubic root of 513810864 is about 800.9420485785.

The spelling of 513810864 in words is "five hundred thirteen million, eight hundred ten thousand, eight hundred sixty-four".