511497664 has 56 divisors (see below), whose sum is σ = 1035119088. Its totient is φ = 250736640.

The previous prime is 511497659. The next prime is 511497719. The reversal of 511497664 is 466794115.

It is a self number, because there is not a number n which added to its sum of digits gives 511497664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773494 + ... + 774154.

Almost surely, 2^511497664 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 511497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517559544).

511497664 is an abundant number, since it is smaller than the sum of its proper divisors (523621424).

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

511497664 is a wasteful number, since it uses less digits than its factorization.

511497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 511497664 is about 22616.3141117203. The cubic root of 511497664 is about 799.7382810550.

The spelling of 511497664 in words is "five hundred eleven million, four hundred ninety-seven thousand, six hundred sixty-four".