82627512731 has 2 divisors, whose sum is σ = 82627512732. Its totient is φ = 82627512730.

The previous prime is 82627512713. The next prime is 82627512743. The reversal of 82627512731 is 13721572628.

Together with previous prime (82627512713) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82627512731 is a prime.

It is a super-2 number, since 2×82627512731² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82627512701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41313756365 + 41313756366.

It is an arithmetic number, because the mean of its divisors is an integer number (41313756366).

Almost surely, 2^82627512731 is an apocalyptic number.

82627512731 is a deficient number, since it is larger than the sum of its proper divisors (1).

82627512731 is an equidigital number, since it uses as much as digits as its factorization.

82627512731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 44.

The spelling of 82627512731 in words is "eighty-two billion, six hundred twenty-seven million, five hundred twelve thousand, seven hundred thirty-one".