1009582097 has 2 divisors, whose sum is σ = 1009582098. Its totient is φ = 1009582096.

The previous prime is 1009581983. The next prime is 1009582103. The reversal of 1009582097 is 7902859001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 840478081 + 169104016 = 28991^2 + 13004^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009582097 - 2¹⁶ = 1009516561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009582697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504791048 + 504791049.

It is an arithmetic number, because the mean of its divisors is an integer number (504791049).

Almost surely, 2^1009582097 is an apocalyptic number.

It is an amenable number.

1009582097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009582097 is an equidigital number, since it uses as much as digits as its factorization.

1009582097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 1009582097 is about 31773.9216496799. The cubic root of 1009582097 is about 1003.1838844546.

The spelling of 1009582097 in words is "one billion, nine million, five hundred eighty-two thousand, ninety-seven".