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82590975997 is a prime number
BaseRepresentation
bin100110011101011001…
…1100100011111111101
321220011220111021212221
41030322303210133331
52323121242212442
6101535231125341
75652452466325
oct1147263443775
9256156437787
1082590975997
11320324a8762
121400b673851
137a32b684ca
143dd6d0c285
152235bba467
hex133ace47fd

82590975997 has 2 divisors, whose sum is σ = 82590975998. Its totient is φ = 82590975996.

The previous prime is 82590975991. The next prime is 82590976003. The reversal of 82590975997 is 79957909528.

It is a balanced prime because it is at equal distance from previous prime (82590975991) and next prime (82590976003).

It can be written as a sum of positive squares in only one way, i.e., 82579217956 + 11758041 = 287366^2 + 3429^2 .

It is a cyclic number.

It is not a de Polignac number, because 82590975997 - 219 = 82590451709 is a prime.

It is a super-2 number, since 2×825909759972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82590975991) 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, 41295487998 + 41295487999.

It is an arithmetic number, because the mean of its divisors is an integer number (41295487999).

Almost surely, 282590975997 is an apocalyptic number.

It is an amenable number.

82590975997 is a deficient number, since it is larger than the sum of its proper divisors (1).

82590975997 is an equidigital number, since it uses as much as digits as its factorization.

82590975997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128595600, while the sum is 70.

The spelling of 82590975997 in words is "eighty-two billion, five hundred ninety million, nine hundred seventy-five thousand, nine hundred ninety-seven".