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285617753261 is a prime number
BaseRepresentation
bin1000010100000000010…
…01010000110010101101
31000022020012012012012222
410022000021100302231
514134421121101021
6335113323405125
726430605563001
oct4120011206255
91008205165188
10285617753261
11100147859475
12474309837a5
1320c1a286039
14db76da6701
157669c226ab
hex4280250cad

285617753261 has 2 divisors, whose sum is σ = 285617753262. Its totient is φ = 285617753260.

The previous prime is 285617753257. The next prime is 285617753263. The reversal of 285617753261 is 162357716582.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203252197225 + 82365556036 = 450835^2 + 286994^2 .

It is a cyclic number.

It is not a de Polignac number, because 285617753261 - 22 = 285617753257 is a prime.

It is a super-2 number, since 2×2856177532612 (a number of 24 digits) contains 22 as substring.

Together with 285617753263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (285617753263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 142808876630 + 142808876631.

It is an arithmetic number, because the mean of its divisors is an integer number (142808876631).

Almost surely, 2285617753261 is an apocalyptic number.

It is an amenable number.

285617753261 is a deficient number, since it is larger than the sum of its proper divisors (1).

285617753261 is an equidigital number, since it uses as much as digits as its factorization.

285617753261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4233600, while the sum is 53.

The spelling of 285617753261 in words is "two hundred eighty-five billion, six hundred seventeen million, seven hundred fifty-three thousand, two hundred sixty-one".