82963920313 has 2 divisors, whose sum is σ = 82963920314. Its totient is φ = 82963920312.

The previous prime is 82963920269. The next prime is 82963920343. The reversal of 82963920313 is 31302936928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81903571344 + 1060348969 = 286188^2 + 32563^2 .

It is a cyclic number.

It is not a de Polignac number, because 82963920313 - 2¹³ = 82963912121 is a prime.

It is a super-3 number, since 3×82963920313³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82963920343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41481960156 + 41481960157.

It is an arithmetic number, because the mean of its divisors is an integer number (41481960157).

Almost surely, 2^82963920313 is an apocalyptic number.

It is an amenable number.

82963920313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82963920313 is an equidigital number, since it uses as much as digits as its factorization.

82963920313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 82963920313 in words is "eighty-two billion, nine hundred sixty-three million, nine hundred twenty thousand, three hundred thirteen".