1005242031 has 6 divisors (see below), whose sum is σ = 1452016280. Its totient is φ = 670161348.

The previous prime is 1005242009. The next prime is 1005242041. The reversal of 1005242031 is 1302425001.

It is not a de Polignac number, because 1005242031 - 2⁵ = 1005241999 is a prime.

It is a super-2 number, since 2×1005242031² = 2021023081778009922, 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 = 1005241995 and 1005242013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005242041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55846771 + ... + 55846788.

Almost surely, 2^1005242031 is an apocalyptic number.

1005242031 is a deficient number, since it is larger than the sum of its proper divisors (446774249).

1005242031 is a wasteful number, since it uses less digits than its factorization.

1005242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111693565 (or 111693562 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1005242031 is about 31705.5520532288. The cubic root of 1005242031 is about 1001.7442993175.

Adding to 1005242031 its reverse (1302425001), we get a palindrome (2307667032).

The spelling of 1005242031 in words is "one billion, five million, two hundred forty-two thousand, thirty-one".