2598991001 has 2 divisors, whose sum is σ = 2598991002. Its totient is φ = 2598991000.

The previous prime is 2598990971. The next prime is 2598991009. The reversal of 2598991001 is 1001998952.

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., 2450151001 + 148840000 = 49499^2 + 12200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2598991001 - 2¹⁰ = 2598989977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2598991009) 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, 1299495500 + 1299495501.

It is an arithmetic number, because the mean of its divisors is an integer number (1299495501).

Almost surely, 2^2598991001 is an apocalyptic number.

It is an amenable number.

2598991001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2598991001 is an equidigital number, since it uses as much as digits as its factorization.

2598991001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 44.

The square root of 2598991001 is about 50980.3001266175. The cubic root of 2598991001 is about 1374.8909667371.

The spelling of 2598991001 in words is "two billion, five hundred ninety-eight million, nine hundred ninety-one thousand, one".