82581852593 has 2 divisors, whose sum is σ = 82581852594. Its totient is φ = 82581852592.

The previous prime is 82581852559. The next prime is 82581852601. The reversal of 82581852593 is 39525818528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45103990129 + 37477862464 = 212377^2 + 193592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82581852593 is a prime.

It is a super-3 number, since 3×82581852593³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82587852593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41290926296 + 41290926297.

It is an arithmetic number, because the mean of its divisors is an integer number (41290926297).

Almost surely, 2^82581852593 is an apocalyptic number.

It is an amenable number.

82581852593 is a deficient number, since it is larger than the sum of its proper divisors (1).

82581852593 is an equidigital number, since it uses as much as digits as its factorization.

82581852593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912000, while the sum is 56.

The spelling of 82581852593 in words is "eighty-two billion, five hundred eighty-one million, eight hundred fifty-two thousand, five hundred ninety-three".