511521696 has 192 divisors, whose sum is σ = 1727308800. Its totient is φ = 144246528.

The previous prime is 511521683. The next prime is 511521713. The reversal of 511521696 is 696125115.

511521696 is a `hidden beast` number, since 511 + 52 + 1 + 6 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 511521696.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501475 + ... + 502493.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2^511521696 is an apocalyptic number.

511521696 is a gapful number since it is divisible by the number (56) 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 511521696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

511521696 is an abundant number, since it is smaller than the sum of its proper divisors (1215787104).

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

511521696 is a wasteful number, since it uses less digits than its factorization.

511521696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 511521696 is about 22616.8454033714. The cubic root of 511521696 is about 799.7508057192.

The spelling of 511521696 in words is "five hundred eleven million, five hundred twenty-one thousand, six hundred ninety-six".