264048519 has 16 divisors (see below), whose sum is σ = 407873792. Its totient is φ = 148817088.

The previous prime is 264048497. The next prime is 264048553. The reversal of 264048519 is 915840462.

It is not a de Polignac number, because 264048519 - 2⁹ = 264048007 is a prime.

It is a super-4 number, since 4×264048519⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264048319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84589 + ... + 87654.

It is an arithmetic number, because the mean of its divisors is an integer number (25492112).

Almost surely, 2^264048519 is an apocalyptic number.

264048519 is a deficient number, since it is larger than the sum of its proper divisors (143825273).

264048519 is a wasteful number, since it uses less digits than its factorization.

264048519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172326.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 264048519 is about 16249.5698096903. The cubic root of 264048519 is about 641.5461631773.

The spelling of 264048519 in words is "two hundred sixty-four million, forty-eight thousand, five hundred nineteen".