1268013 has 24 divisors (see below), whose sum is σ = 1911168. Its totient is φ = 744832.

The previous prime is 1268011. The next prime is 1268017. The reversal of 1268013 is 3108621.

It is not a de Polignac number, because 1268013 - 2¹ = 1268011 is a prime.

It is a super-3 number, since 3×1268013³ = 6116350613336634591, which contains 333 as substring.

1268013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26956 + ... + 27002.

It is an arithmetic number, because the mean of its divisors is an integer number (79632).

2^1268013 is an apocalyptic number.

It is an amenable number.

1268013 is a deficient number, since it is larger than the sum of its proper divisors (643155).

1268013 is a wasteful number, since it uses less digits than its factorization.

1268013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1268013 is about 1126.0608331702. The cubic root of 1268013 is about 108.2367064767.

The spelling of 1268013 in words is "one million, two hundred sixty-eight thousand, thirteen".