9852904801 has 2 divisors, whose sum is σ = 9852904802. Its totient is φ = 9852904800.

The previous prime is 9852904771. The next prime is 9852904823. The reversal of 9852904801 is 1084092589.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9486565201 + 366339600 = 97399^2 + 19140^2 .

It is a cyclic number.

It is not a de Polignac number, because 9852904801 - 2¹⁹ = 9852380513 is a prime.

It is not a weakly prime, because it can be changed into another prime (9852904001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4926452400 + 4926452401.

It is an arithmetic number, because the mean of its divisors is an integer number (4926452401).

Almost surely, 2^9852904801 is an apocalyptic number.

It is an amenable number.

9852904801 is a deficient number, since it is larger than the sum of its proper divisors (1).

9852904801 is an equidigital number, since it uses as much as digits as its factorization.

9852904801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 9852904801 is about 99261.7993036596. The cubic root of 9852904801 is about 2143.8189009228.

The spelling of 9852904801 in words is "nine billion, eight hundred fifty-two million, nine hundred four thousand, eight hundred one".