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91582204253 is a prime number
BaseRepresentation
bin101010101001010111…
…0011000100101011101
322202101112002000022212
41111102232120211131
53000030021014003
6110023340250205
76421330614641
oct1252256304535
9282345060285
1091582204253
1135926848611
12158ba840965
138836867007
14460b0bcc21
1525b0212dd8
hex1552b9895d

91582204253 has 2 divisors, whose sum is σ = 91582204254. Its totient is φ = 91582204252.

The previous prime is 91582204187. The next prime is 91582204261. The reversal of 91582204253 is 35240228519.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91483261444 + 98942809 = 302462^2 + 9947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-91582204253 is a prime.

It is a super-2 number, since 2×915822042532 (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 91582204253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91582204453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45791102126 + 45791102127.

It is an arithmetic number, because the mean of its divisors is an integer number (45791102127).

Almost surely, 291582204253 is an apocalyptic number.

It is an amenable number.

91582204253 is a deficient number, since it is larger than the sum of its proper divisors (1).

91582204253 is an equidigital number, since it uses as much as digits as its factorization.

91582204253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 91582204253 in words is "ninety-one billion, five hundred eighty-two million, two hundred four thousand, two hundred fifty-three".