827372737201 has 2 divisors, whose sum is σ = 827372737202. Its totient is φ = 827372737200.

The previous prime is 827372737187. The next prime is 827372737211. The reversal of 827372737201 is 102737273728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 823302169600 + 4070567601 = 907360^2 + 63801^2 .

It is a cyclic number.

It is not a de Polignac number, because 827372737201 - 2¹³ = 827372729009 is a prime.

It is not a weakly prime, because it can be changed into another prime (827372737211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413686368600 + 413686368601.

It is an arithmetic number, because the mean of its divisors is an integer number (413686368601).

Almost surely, 2^827372737201 is an apocalyptic number.

It is an amenable number.

827372737201 is a deficient number, since it is larger than the sum of its proper divisors (1).

827372737201 is an equidigital number, since it uses as much as digits as its factorization.

827372737201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 827372737201 in words is "eight hundred twenty-seven billion, three hundred seventy-two million, seven hundred thirty-seven thousand, two hundred one".