1053006313 has 2 divisors, whose sum is σ = 1053006314. Its totient is φ = 1053006312.

The previous prime is 1053006307. The next prime is 1053006319. The reversal of 1053006313 is 3136003501.

It is a balanced prime because it is at equal distance from previous prime (1053006307) and next prime (1053006319).

It can be written as a sum of positive squares in only one way, i.e., 1001912409 + 51093904 = 31653^2 + 7148^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053006313 - 2²¹ = 1050909161 is a prime.

It is a super-2 number, since 2×1053006313² = 2217644590435707938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1053006319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526503156 + 526503157.

It is an arithmetic number, because the mean of its divisors is an integer number (526503157).

Almost surely, 2^1053006313 is an apocalyptic number.

It is an amenable number.

1053006313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053006313 is an equidigital number, since it uses as much as digits as its factorization.

1053006313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 1053006313 is about 32450.0587518729. The cubic root of 1053006313 is about 1017.3654660168.

Adding to 1053006313 its reverse (3136003501), we get a palindrome (4189009814).

The spelling of 1053006313 in words is "one billion, fifty-three million, six thousand, three hundred thirteen".