511232256 has 144 divisors (see below), whose sum is σ = 1553440000. Its totient is φ = 165722112.

The previous prime is 511232243. The next prime is 511232269. The reversal of 511232256 is 652232115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (511232243) and next prime (511232269).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×511232256² = 522716839149699072, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254745 + ... + 256743.

Almost surely, 2^511232256 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 511232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776720000).

511232256 is an abundant number, since it is smaller than the sum of its proper divisors (1042207744).

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

511232256 is a wasteful number, since it uses less digits than its factorization.

511232256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2041 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 511232256 is about 22610.4457275835. The cubic root of 511232256 is about 799.5999333000.

The spelling of 511232256 in words is "five hundred eleven million, two hundred thirty-two thousand, two hundred fifty-six".