501105001 has 2 divisors, whose sum is σ = 501105002. Its totient is φ = 501105000.

The previous prime is 501104963. The next prime is 501105013. The reversal of 501105001 is 100501105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 465523776 + 35581225 = 21576^2 + 5965^2 .

It is a cyclic number.

It is not a de Polignac number, because 501105001 - 2¹⁷ = 500973929 is a prime.

It is a super-2 number, since 2×501105001² = 502212444054420002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (501105091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250552500 + 250552501.

It is an arithmetic number, because the mean of its divisors is an integer number (250552501).

Almost surely, 2^501105001 is an apocalyptic number.

It is an amenable number.

501105001 is a deficient number, since it is larger than the sum of its proper divisors (1).

501105001 is an equidigital number, since it uses as much as digits as its factorization.

501105001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 501105001 is about 22385.3747120748. The cubic root of 501105001 is about 794.2847890377.

Adding to 501105001 its reverse (100501105), we get a palindrome (601606106).

The spelling of 501105001 in words is "five hundred one million, one hundred five thousand, one".