264512512 has 88 divisors (see below), whose sum is σ = 602505792. Its totient is φ = 114892800.

The previous prime is 264512497. The next prime is 264512587. The reversal of 264512512 is 215215462.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258562 + ... + 259582.

Almost surely, 2^264512512 is an apocalyptic number.

264512512 is a gapful number since it is divisible by the number (22) 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 264512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301252896).

264512512 is an abundant number, since it is smaller than the sum of its proper divisors (337993280).

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

264512512 is a wasteful number, since it uses less digits than its factorization.

264512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1057 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 264512512 is about 16263.8406288306. The cubic root of 264512512 is about 641.9217238766.

Adding to 264512512 its reverse (215215462), we get a palindrome (479727974).

The spelling of 264512512 in words is "two hundred sixty-four million, five hundred twelve thousand, five hundred twelve".