268513 has 8 divisors (see below), whose sum is σ = 311040. Its totient is φ = 227040.

The previous prime is 268507. The next prime is 268517. The reversal of 268513 is 315862.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268513 is a prime.

It is a Duffinian number.

268513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (268517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2²⁶⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

268513 is a deficient number, since it is larger than the sum of its proper divisors (42527).

268513 is an equidigital number, since it uses as much as digits as its factorization.

268513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 1440, while the sum is 25.

The square root of 268513 is about 518.1824003187. The cubic root of 268513 is about 64.5141687119.

It can be divided in two parts, 2 and 68513, that multiplied together give a triangular number (137026 = T₅₂₃).

The spelling of 268513 in words is "two hundred sixty-eight thousand, five hundred thirteen".