513571968 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 127733760.

The previous prime is 513571967. The next prime is 513572041. The reversal of 513571968 is 869175315.

It is a happy number.

513571968 is a `hidden beast` number, since 5 + 13 + 571 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (513571967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7233373 + ... + 7233443.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^513571968 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 513571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

513571968 is an abundant number, since it is smaller than the sum of its proper divisors (1460495232).

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

513571968 is a wasteful number, since it uses less digits than its factorization.

513571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 513571968 is about 22662.1262903550. The cubic root of 513571968 is about 800.8178968543.

The spelling of 513571968 in words is "five hundred thirteen million, five hundred seventy-one thousand, nine hundred sixty-eight".