36605017601 has 2 divisors, whose sum is σ = 36605017602. Its totient is φ = 36605017600.

The previous prime is 36605017571. The next prime is 36605017609. The reversal of 36605017601 is 10671050663.

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., 36486730225 + 118287376 = 191015^2 + 10876^2 .

It is a cyclic number.

It is not a de Polignac number, because 36605017601 - 2¹⁴ = 36605001217 is a prime.

It is not a weakly prime, because it can be changed into another prime (36605017609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18302508800 + 18302508801.

It is an arithmetic number, because the mean of its divisors is an integer number (18302508801).

Almost surely, 2^36605017601 is an apocalyptic number.

It is an amenable number.

36605017601 is a deficient number, since it is larger than the sum of its proper divisors (1).

36605017601 is an equidigital number, since it uses as much as digits as its factorization.

36605017601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 36605017601 in words is "thirty-six billion, six hundred five million, seventeen thousand, six hundred one".