9249408001 has 2 divisors, whose sum is σ = 9249408002. Its totient is φ = 9249408000.

The previous prime is 9249407983. The next prime is 9249408013. The reversal of 9249408001 is 1008049429.

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., 6174816400 + 3074591601 = 78580^2 + 55449^2 .

It is a cyclic number.

It is not a de Polignac number, because 9249408001 - 2¹¹ = 9249405953 is a prime.

It is not a weakly prime, because it can be changed into another prime (9249408901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4624704000 + 4624704001.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704001).

Almost surely, 2^9249408001 is an apocalyptic number.

It is an amenable number.

9249408001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9249408001 is an equidigital number, since it uses as much as digits as its factorization.

9249408001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 9249408001 is about 96173.8426028616. The cubic root of 9249408001 is about 2099.1234437690.

The spelling of 9249408001 in words is "nine billion, two hundred forty-nine million, four hundred eight thousand, one".