511056128 has 72 divisors (see below), whose sum is σ = 1122401280. Its totient is φ = 230307840.

The previous prime is 511056127. The next prime is 511056131. The reversal of 511056128 is 821650115.

It is a super-2 number, since 2×511056128² = 522356731932704768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511056128.

It is not an unprimeable number, because it can be changed into a prime (511056127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356918 + ... + 358346.

Almost surely, 2^511056128 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 511056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561200640).

511056128 is an abundant number, since it is smaller than the sum of its proper divisors (611345152).

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

511056128 is a wasteful number, since it uses less digits than its factorization.

511056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

The square root of 511056128 is about 22606.5505550935. The cubic root of 511056128 is about 799.5080976020.

The spelling of 511056128 in words is "five hundred eleven million, fifty-six thousand, one hundred twenty-eight".