820251713 has 2 divisors, whose sum is σ = 820251714. Its totient is φ = 820251712.

The previous prime is 820251701. The next prime is 820251769. The reversal of 820251713 is 317152028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 516516529 + 303735184 = 22727^2 + 17428^2 .

It is a cyclic number.

It is not a de Polignac number, because 820251713 - 2¹⁰ = 820250689 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (820251013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410125856 + 410125857.

It is an arithmetic number, because the mean of its divisors is an integer number (410125857).

Almost surely, 2^820251713 is an apocalyptic number.

It is an amenable number.

820251713 is a deficient number, since it is larger than the sum of its proper divisors (1).

820251713 is an equidigital number, since it uses as much as digits as its factorization.

820251713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 820251713 is about 28640.0368889427. The cubic root of 820251713 is about 936.0859252363.

It can be divided in two parts, 82025 and 1713, that added together give a palindrome (83738).

The spelling of 820251713 in words is "eight hundred twenty million, two hundred fifty-one thousand, seven hundred thirteen".