1331005253 has 2 divisors, whose sum is σ = 1331005254. Its totient is φ = 1331005252.

The previous prime is 1331005231. The next prime is 1331005261. The reversal of 1331005253 is 3525001331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1283215684 + 47789569 = 35822^2 + 6913^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331005253 - 2¹⁰ = 1331004229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331005223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665502626 + 665502627.

It is an arithmetic number, because the mean of its divisors is an integer number (665502627).

Almost surely, 2^1331005253 is an apocalyptic number.

It is an amenable number.

1331005253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331005253 is an equidigital number, since it uses as much as digits as its factorization.

1331005253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 1331005253 is about 36482.9446865244. The cubic root of 1331005253 is about 1100.0014471055.

Adding to 1331005253 its reverse (3525001331), we get a palindrome (4856006584).

The spelling of 1331005253 in words is "one billion, three hundred thirty-one million, five thousand, two hundred fifty-three".