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813617058253 is a prime number
BaseRepresentation
bin10111101011011110101…
…10110001000111001101
32212210002101000222020111
423311233112301013031
5101312241431331003
61421434233120021
7112532121613216
oct13655726610715
92783071028214
10813617058253
1129406468914a
12111826859011
135b95413a3ac
142b544a3840d
151626d9d0e6d
hexbd6f5b11cd

813617058253 has 2 divisors, whose sum is σ = 813617058254. Its totient is φ = 813617058252.

The previous prime is 813617058239. The next prime is 813617058263. The reversal of 813617058253 is 352850716318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 807846832809 + 5770225444 = 898803^2 + 75962^2 .

It is a cyclic number.

It is not a de Polignac number, because 813617058253 - 213 = 813617050061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 813617058197 and 813617058206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813617058203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406808529126 + 406808529127.

It is an arithmetic number, because the mean of its divisors is an integer number (406808529127).

Almost surely, 2813617058253 is an apocalyptic number.

It is an amenable number.

813617058253 is a deficient number, since it is larger than the sum of its proper divisors (1).

813617058253 is an equidigital number, since it uses as much as digits as its factorization.

813617058253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 813617058253 in words is "eight hundred thirteen billion, six hundred seventeen million, fifty-eight thousand, two hundred fifty-three".