1026105313 has 2 divisors, whose sum is σ = 1026105314. Its totient is φ = 1026105312.

The previous prime is 1026105307. The next prime is 1026105323. The reversal of 1026105313 is 3135016201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630612544 + 395492769 = 25112^2 + 19887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1026105313 is a prime.

It is a super-2 number, since 2×1026105313² = 2105784226733655938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1026105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513052656 + 513052657.

It is an arithmetic number, because the mean of its divisors is an integer number (513052657).

Almost surely, 2^1026105313 is an apocalyptic number.

It is an amenable number.

1026105313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026105313 is an equidigital number, since it uses as much as digits as its factorization.

1026105313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1026105313 is about 32032.8786249378. The cubic root of 1026105313 is about 1008.6271296033.

The spelling of 1026105313 in words is "one billion, twenty-six million, one hundred five thousand, three hundred thirteen".