1005131 has 2 divisors, whose sum is σ = 1005132. Its totient is φ = 1005130.

The previous prime is 1005107. The next prime is 1005133. The reversal of 1005131 is 1315001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005131 is a prime.

It is a super-2 number, since 2×1005131² = 2020576654322, which contains 22 as substring.

Together with 1005133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1005133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502565 + 502566.

It is an arithmetic number, because the mean of its divisors is an integer number (502566).

2^1005131 is an apocalyptic number.

1005131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005131 is an equidigital number, since it uses as much as digits as its factorization.

1005131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 1005131 is about 1002.5622175207. The cubic root of 1005131 is about 100.1707416403.

The spelling of 1005131 in words is "one million, five thousand, one hundred thirty-one".