736066561 has 12 divisors (see below), whose sum is σ = 797944932. Its totient is φ = 676628736.

The previous prime is 736066553. The next prime is 736066571. The reversal of 736066561 is 165660637.

It can be written as a sum of positive squares in 2 ways, for example, as 447576336 + 288490225 = 21156^2 + 16985^2 .

It is not a de Polignac number, because 736066561 - 2³ = 736066553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (736066501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19725 + ... + 43141.

It is an arithmetic number, because the mean of its divisors is an integer number (66495411).

Almost surely, 2^736066561 is an apocalyptic number.

It is an amenable number.

736066561 is a deficient number, since it is larger than the sum of its proper divisors (61878371).

736066561 is a wasteful number, since it uses less digits than its factorization.

736066561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520 (or 23477 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 736066561 is about 27130.5466402725. The cubic root of 736066561 is about 902.8987036788.

The spelling of 736066561 in words is "seven hundred thirty-six million, sixty-six thousand, five hundred sixty-one".