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827312270249 is a prime number
BaseRepresentation
bin11000000100111111010…
…01110110101110101001
32221002102210222211021102
430002133221312232221
5102023313420121444
61432021221051145
7113525366161043
oct14023751665651
92832383884242
10827312270249
11299952232673
12114409256ab5
136002756302a
142c083852a93
15167c0eab84e
hexc09fa76ba9

827312270249 has 2 divisors, whose sum is σ = 827312270250. Its totient is φ = 827312270248.

The previous prime is 827312270243. The next prime is 827312270303. The reversal of 827312270249 is 942072213728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 670728240400 + 156584029849 = 818980^2 + 395707^2 .

It is a cyclic number.

It is not a de Polignac number, because 827312270249 - 216 = 827312204713 is a prime.

It is not a weakly prime, because it can be changed into another prime (827312270243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413656135124 + 413656135125.

It is an arithmetic number, because the mean of its divisors is an integer number (413656135125).

Almost surely, 2827312270249 is an apocalyptic number.

It is an amenable number.

827312270249 is a deficient number, since it is larger than the sum of its proper divisors (1).

827312270249 is an equidigital number, since it uses as much as digits as its factorization.

827312270249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 827312270249 in words is "eight hundred twenty-seven billion, three hundred twelve million, two hundred seventy thousand, two hundred forty-nine".