1268253 has 24 divisors (see below), whose sum is σ = 2149056. Its totient is φ = 705600.

The previous prime is 1268233. The next prime is 1268261. The reversal of 1268253 is 3528621.

It is not a de Polignac number, because 1268253 - 2⁵ = 1268221 is a prime.

1268253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268213) 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, 2338 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (89544).

2^1268253 is an apocalyptic number.

It is an amenable number.

1268253 is a deficient number, since it is larger than the sum of its proper divisors (880803).

1268253 is a wasteful number, since it uses less digits than its factorization.

1268253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1268253 is about 1126.1673943069. The cubic root of 1268253 is about 108.2435347902.

It can be divided in two parts, 1268 and 253, that added together give a square (1521 = 39²).

The spelling of 1268253 in words is "one million, two hundred sixty-eight thousand, two hundred fifty-three".