827494137601 has 2 divisors, whose sum is σ = 827494137602. Its totient is φ = 827494137600.

The previous prime is 827494137599. The next prime is 827494137671. The reversal of 827494137601 is 106731494728.

It is a happy number.

827494137601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 754188033600 + 73306104001 = 868440^2 + 270751^2 .

It is a cyclic number.

It is not a de Polignac number, because 827494137601 - 2¹ = 827494137599 is a prime.

Together with 827494137599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (827494137671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413747068800 + 413747068801.

It is an arithmetic number, because the mean of its divisors is an integer number (413747068801).

Almost surely, 2^827494137601 is an apocalyptic number.

It is an amenable number.

827494137601 is a deficient number, since it is larger than the sum of its proper divisors (1).

827494137601 is an equidigital number, since it uses as much as digits as its factorization.

827494137601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 827494137601 in words is "eight hundred twenty-seven billion, four hundred ninety-four million, one hundred thirty-seven thousand, six hundred one".