1005041831 has 2 divisors, whose sum is σ = 1005041832. Its totient is φ = 1005041830.

The previous prime is 1005041801. The next prime is 1005041837. The reversal of 1005041831 is 1381405001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005041831 - 2¹⁰ = 1005040807 is a prime.

It is a super-2 number, since 2×1005041831² = 2020218164119665122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005041797 and 1005041806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005041837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502520915 + 502520916.

It is an arithmetic number, because the mean of its divisors is an integer number (502520916).

Almost surely, 2^1005041831 is an apocalyptic number.

1005041831 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005041831 is an equidigital number, since it uses as much as digits as its factorization.

1005041831 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1005041831 is about 31702.3947202731. The cubic root of 1005041831 is about 1001.6777937671.

Adding to 1005041831 its reverse (1381405001), we get a palindrome (2386446832).

The spelling of 1005041831 in words is "one billion, five million, forty-one thousand, eight hundred thirty-one".