82631311337 has 2 divisors, whose sum is σ = 82631311338. Its totient is φ = 82631311336.

The previous prime is 82631311303. The next prime is 82631311351. The reversal of 82631311337 is 73311313628.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82555080976 + 76230361 = 287324^2 + 8731^2 .

It is a cyclic number.

It is not a de Polignac number, because 82631311337 - 2³² = 78336344041 is a prime.

It is a super-2 number, since 2×82631311337² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82631311337.

It is not a weakly prime, because it can be changed into another prime (82631311387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41315655668 + 41315655669.

It is an arithmetic number, because the mean of its divisors is an integer number (41315655669).

Almost surely, 2^82631311337 is an apocalyptic number.

It is an amenable number.

82631311337 is a deficient number, since it is larger than the sum of its proper divisors (1).

82631311337 is an equidigital number, since it uses as much as digits as its factorization.

82631311337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 38.

The spelling of 82631311337 in words is "eighty-two billion, six hundred thirty-one million, three hundred eleven thousand, three hundred thirty-seven".