1023001009 has 2 divisors, whose sum is σ = 1023001010. Its totient is φ = 1023001008.

The previous prime is 1023000973. The next prime is 1023001033. The reversal of 1023001009 is 9001003201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 623600784 + 399400225 = 24972^2 + 19985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023001009 - 2¹¹ = 1022998961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023000983 and 1023001001.

It is not a weakly prime, because it can be changed into another prime (1023001039) 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 as a sum of consecutive naturals, namely, 511500504 + 511500505.

It is an arithmetic number, because the mean of its divisors is an integer number (511500505).

Almost surely, 2^1023001009 is an apocalyptic number.

It is an amenable number.

1023001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023001009 is an equidigital number, since it uses as much as digits as its factorization.

1023001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1023001009 is about 31984.3869567638. The cubic root of 1023001009 is about 1007.6089598860.

The spelling of 1023001009 in words is "one billion, twenty-three million, one thousand, nine".