820417507213 has 2 divisors, whose sum is σ = 820417507214. Its totient is φ = 820417507212.

The previous prime is 820417507211. The next prime is 820417507267. The reversal of 820417507213 is 312705714028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 815024367369 + 5393139844 = 902787^2 + 73438^2 .

It is a cyclic number.

It is not a de Polignac number, because 820417507213 - 2¹ = 820417507211 is a prime.

It is a super-2 number, since 2×820417507213² (a number of 25 digits) contains 22 as substring.

Together with 820417507211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820417507211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410208753606 + 410208753607.

It is an arithmetic number, because the mean of its divisors is an integer number (410208753607).

Almost surely, 2^820417507213 is an apocalyptic number.

It is an amenable number.

820417507213 is a deficient number, since it is larger than the sum of its proper divisors (1).

820417507213 is an equidigital number, since it uses as much as digits as its factorization.

820417507213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 820417507213 in words is "eight hundred twenty billion, four hundred seventeen million, five hundred seven thousand, two hundred thirteen".