1052837823313 has 2 divisors, whose sum is σ = 1052837823314. Its totient is φ = 1052837823312.

The previous prime is 1052837823311. The next prime is 1052837823371. The reversal of 1052837823313 is 3133287382501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 783203760144 + 269634063169 = 884988^2 + 519263^2 .

It is a cyclic number.

It is not a de Polignac number, because 1052837823313 - 2¹ = 1052837823311 is a prime.

It is a super-2 number, since 2×1052837823313² (a number of 25 digits) contains 22 as substring.

Together with 1052837823311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1052837823311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526418911656 + 526418911657.

It is an arithmetic number, because the mean of its divisors is an integer number (526418911657).

Almost surely, 2^{1052837823313} is an apocalyptic number.

It is an amenable number.

1052837823313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052837823313 is an equidigital number, since it uses as much as digits as its factorization.

1052837823313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 1052837823313 in words is "one trillion, fifty-two billion, eight hundred thirty-seven million, eight hundred twenty-three thousand, three hundred thirteen".