501131 has 2 divisors, whose sum is σ = 501132. Its totient is φ = 501130.

The previous prime is 501121. The next prime is 501133. The reversal of 501131 is 131105.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 501131 - 2¹⁰ = 500107 is a prime.

It is a super-2 number, since 2×501131² = 502264558322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 501133, 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 (501133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250565 + 250566.

It is an arithmetic number, because the mean of its divisors is an integer number (250566).

2⁵⁰¹¹³¹ is an apocalyptic number.

501131 is a deficient number, since it is larger than the sum of its proper divisors (1).

501131 is an equidigital number, since it uses as much as digits as its factorization.

501131 is an odious number, because the sum of its binary digits is odd.

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

The square root of 501131 is about 707.9060672151. The cubic root of 501131 is about 79.4298525515.

Adding to 501131 its reverse (131105), we get a palindrome (632236).

The spelling of 501131 in words is "five hundred one thousand, one hundred thirty-one".