1306253 has 8 divisors (see below), whose sum is σ = 1423800. Its totient is φ = 1191168.

The previous prime is 1306243. The next prime is 1306259. The reversal of 1306253 is 3526031.

1306253 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 1247689 = 242^2 + 1117^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1306253 - 2⁴ = 1306237 is a prime.

It is a super-3 number, since 3×1306253³ = 6686566333582368831, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (177975).

2^1306253 is an apocalyptic number.

1306253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1306253 is a deficient number, since it is larger than the sum of its proper divisors (117547).

1306253 is a wasteful number, since it uses less digits than its factorization.

1306253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1306253 is about 1142.9142575014. The cubic root of 1306253 is about 109.3139951504.

The spelling of 1306253 in words is "one million, three hundred six thousand, two hundred fifty-three".