1017138901 has 2 divisors, whose sum is σ = 1017138902. Its totient is φ = 1017138900.

The previous prime is 1017138893. The next prime is 1017138907. The reversal of 1017138901 is 1098317101.

1017138901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 531994225 + 485144676 = 23065^2 + 22026^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017138901 - 2³ = 1017138893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017138907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508569450 + 508569451.

It is an arithmetic number, because the mean of its divisors is an integer number (508569451).

Almost surely, 2^1017138901 is an apocalyptic number.

It is an amenable number.

1017138901 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017138901 is an equidigital number, since it uses as much as digits as its factorization.

1017138901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 31.

The square root of 1017138901 is about 31892.6151483380. The cubic root of 1017138901 is about 1005.6806362676.

The spelling of 1017138901 in words is "one billion, seventeen million, one hundred thirty-eight thousand, nine hundred one".