511025328 has 160 divisors (see below), whose sum is σ = 1652275200. Its totient is φ = 149817600.

The previous prime is 511025323. The next prime is 511025341. The reversal of 511025328 is 823520115.

It is a happy number.

It is a super-2 number, since 2×511025328² = 522293771715015168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511025323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145578 + ... + 149046.

It is an arithmetic number, because the mean of its divisors is an integer number (10326720).

Almost surely, 2^511025328 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 511025328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826137600).

511025328 is an abundant number, since it is smaller than the sum of its proper divisors (1141249872).

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

511025328 is a wasteful number, since it uses less digits than its factorization.

511025328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 511025328 is about 22605.8693263497. The cubic root of 511025328 is about 799.4920358671.

The spelling of 511025328 in words is "five hundred eleven million, twenty-five thousand, three hundred twenty-eight".