83271517601 has 2 divisors, whose sum is σ = 83271517602. Its totient is φ = 83271517600.

The previous prime is 83271517591. The next prime is 83271517619. The reversal of 83271517601 is 10671517238.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72575821201 + 10695696400 = 269399^2 + 103420^2 .

It is a cyclic number.

It is not a de Polignac number, because 83271517601 - 2²⁶ = 83204408737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (83271517661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41635758800 + 41635758801.

It is an arithmetic number, because the mean of its divisors is an integer number (41635758801).

Almost surely, 2^83271517601 is an apocalyptic number.

It is an amenable number.

83271517601 is a deficient number, since it is larger than the sum of its proper divisors (1).

83271517601 is an equidigital number, since it uses as much as digits as its factorization.

83271517601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 83271517601 in words is "eighty-three billion, two hundred seventy-one million, five hundred seventeen thousand, six hundred one".