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813285582301 is a prime number
BaseRepresentation
bin10111101010110111001…
…10010010010111011101
32212202020021022020201101
423311123212102113131
5101311102102113201
61421341312313101
7112520655250063
oct13653346222735
92782207266641
10813285582301
11293a04566385
12111753842791
135b90056b88a
142b5129d0033
151624e855d01
hexbd5b9925dd

813285582301 has 2 divisors, whose sum is σ = 813285582302. Its totient is φ = 813285582300.

The previous prime is 813285582293. The next prime is 813285582337. The reversal of 813285582301 is 103285582318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 812430019801 + 855562500 = 901349^2 + 29250^2 .

It is a cyclic number.

It is not a de Polignac number, because 813285582301 - 23 = 813285582293 is a prime.

It is a super-2 number, since 2×8132855823012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813285582701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406642791150 + 406642791151.

It is an arithmetic number, because the mean of its divisors is an integer number (406642791151).

Almost surely, 2813285582301 is an apocalyptic number.

It is an amenable number.

813285582301 is a deficient number, since it is larger than the sum of its proper divisors (1).

813285582301 is an equidigital number, since it uses as much as digits as its factorization.

813285582301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 813285582301 in words is "eight hundred thirteen billion, two hundred eighty-five million, five hundred eighty-two thousand, three hundred one".