264501520 has 20 divisors (see below), whose sum is σ = 614966220. Its totient is φ = 105800576.

The previous prime is 264501481. The next prime is 264501529. The reversal of 264501520 is 25105462.

264501520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64448784 + 200052736 = 8028^2 + 14144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×264501520² = 139922108164620800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264501529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1653055 + ... + 1653214.

It is an arithmetic number, because the mean of its divisors is an integer number (30748311).

Almost surely, 2^264501520 is an apocalyptic number.

264501520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264501520 is an abundant number, since it is smaller than the sum of its proper divisors (350464700).

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

264501520 is a wasteful number, since it uses less digits than its factorization.

264501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306282 (or 3306276 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 264501520 is about 16263.5026977586. The cubic root of 264501520 is about 641.9128319200.

Adding to 264501520 its reverse (25105462), we get a palindrome (289606982).

The spelling of 264501520 in words is "two hundred sixty-four million, five hundred one thousand, five hundred twenty".