1009040031 has 8 divisors (see below), whose sum is σ = 1494874160. Its totient is φ = 672693336.

The previous prime is 1009040029. The next prime is 1009040057. The reversal of 1009040031 is 1300409001.

It is not a de Polignac number, because 1009040031 - 2¹ = 1009040029 is a prime.

It is a super-2 number, since 2×1009040031² = 2036323568320961922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1009039986 and 1009040013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009040231) 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 in 7 ways as a sum of consecutive naturals, for example, 18685900 + ... + 18685953.

It is an arithmetic number, because the mean of its divisors is an integer number (186859270).

Almost surely, 2^1009040031 is an apocalyptic number.

1009040031 is a deficient number, since it is larger than the sum of its proper divisors (485834129).

1009040031 is an equidigital number, since it uses as much as digits as its factorization.

1009040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37371862 (or 37371856 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1009040031 is about 31765.3904587997. The cubic root of 1009040031 is about 1003.0043087567.

Adding to 1009040031 its reverse (1300409001), we get a palindrome (2309449032).

The spelling of 1009040031 in words is "one billion, nine million, forty thousand, thirty-one".