512613164 has 48 divisors (see below), whose sum is σ = 1067599680. Its totient is φ = 210712320.

The previous prime is 512613151. The next prime is 512613173. The reversal of 512613164 is 461316215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 125474 + ... + 129494.

It is an arithmetic number, because the mean of its divisors is an integer number (22241660).

Almost surely, 2^512613164 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 512613164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533799840).

512613164 is an abundant number, since it is smaller than the sum of its proper divisors (554986516).

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

512613164 is a wasteful number, since it uses less digits than its factorization.

512613164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4216 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 512613164 is about 22640.9620820318. The cubic root of 512613164 is about 800.3192288492.

Adding to 512613164 its reverse (461316215), we get a palindrome (973929379).

The spelling of 512613164 in words is "five hundred twelve million, six hundred thirteen thousand, one hundred sixty-four".