83767561201 has 2 divisors, whose sum is σ = 83767561202. Its totient is φ = 83767561200.

The previous prime is 83767561181. The next prime is 83767561271. The reversal of 83767561201 is 10216576738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83724001201 + 43560000 = 289351^2 + 6600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83767561201 is a prime.

It is not a weakly prime, because it can be changed into another prime (83767561271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41883780600 + 41883780601.

It is an arithmetic number, because the mean of its divisors is an integer number (41883780601).

Almost surely, 2^83767561201 is an apocalyptic number.

It is an amenable number.

83767561201 is a deficient number, since it is larger than the sum of its proper divisors (1).

83767561201 is an equidigital number, since it uses as much as digits as its factorization.

83767561201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 83767561201 in words is "eighty-three billion, seven hundred sixty-seven million, five hundred sixty-one thousand, two hundred one".