1020837852761 has 2 divisors, whose sum is σ = 1020837852762. Its totient is φ = 1020837852760.

The previous prime is 1020837852679. The next prime is 1020837852763. The reversal of 1020837852761 is 1672587380201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 842230188361 + 178607664400 = 917731^2 + 422620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020837852761 - 2³⁸ = 745959945817 is a prime.

Together with 1020837852763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1020837852763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510418926380 + 510418926381.

It is an arithmetic number, because the mean of its divisors is an integer number (510418926381).

Almost surely, 2^{1020837852761} is an apocalyptic number.

It is an amenable number.

1020837852761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020837852761 is an equidigital number, since it uses as much as digits as its factorization.

1020837852761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 1020837852761 in words is "one trillion, twenty billion, eight hundred thirty-seven million, eight hundred fifty-two thousand, seven hundred sixty-one".