4093212802561 has 27 divisors (see below), whose sum is σ = 4250378412931. Its totient is φ = 3941812996784.

The previous prime is 4093212802519. The next prime is 4093212802583. The reversal of 4093212802561 is 1652082123904.

The square root of 4093212802561 is 2023169.

It is a perfect power (a square), and thus also a powerful number.

4093212802561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2950785306225 + 1142427496336 = 1717785^2 + 1068844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4093212802561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4093212302561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6326449140 + ... + 6326449786.

Almost surely, 2^{4093212802561} is an apocalyptic number.

4093212802561 is the 2023169-th square number.

4093212802561 is the 1011585-th centered octagonal number.

It is an amenable number.

4093212802561 is a deficient number, since it is larger than the sum of its proper divisors (157165610370).

4093212802561 is an frugal number, since it uses more digits than its factorization.

4093212802561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 4093212802561 in words is "four trillion, ninety-three billion, two hundred twelve million, eight hundred two thousand, five hundred sixty-one".