240513 has 16 divisors (see below), whose sum is σ = 395136. Its totient is φ = 126720.

The previous prime is 240509. The next prime is 240517. The reversal of 240513 is 315042.

240513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240509) and next prime (240517).

It is not a de Polignac number, because 240513 - 2² = 240509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240492 and 240501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 240513.

It is not an unprimeable number, because it can be changed into a prime (240517) 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, 168 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2²⁴⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

240513 is a deficient number, since it is larger than the sum of its proper divisors (154623).

240513 is a wasteful number, since it uses less digits than its factorization.

240513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 240513 is about 490.4212475006. The cubic root of 240513 is about 62.1888966716.

Adding to 240513 its reverse (315042), we get a palindrome (555555).

Subtracting 240513 from its reverse (315042), we obtain a square (74529 = 273²).

The spelling of 240513 in words is "two hundred forty thousand, five hundred thirteen".