511243264 has 132 divisors (see below), whose sum is σ = 1243331424. Its totient is φ = 209104896.

The previous prime is 511243237. The next prime is 511243273. The reversal of 511243264 is 462342115.

It is a super-2 number, since 2×511243264² = 522739349970747392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153827 + ... + 1154269.

Almost surely, 2^511243264 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 511243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621665712).

511243264 is an abundant number, since it is smaller than the sum of its proper divisors (732088160).

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

511243264 is a wasteful number, since it uses less digits than its factorization.

511243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 475 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 511243264 is about 22610.6891535840. The cubic root of 511243264 is about 799.6056723307.

Adding to 511243264 its reverse (462342115), we get a palindrome (973585379).

The spelling of 511243264 in words is "five hundred eleven million, two hundred forty-three thousand, two hundred sixty-four".