506001721 has 2 divisors, whose sum is σ = 506001722. Its totient is φ = 506001720.

The previous prime is 506001707. The next prime is 506001731. The reversal of 506001721 is 127100605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 505125625 + 876096 = 22475^2 + 936^2 .

It is a cyclic number.

It is not a de Polignac number, because 506001721 - 2⁵ = 506001689 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 506001692 and 506001701.

It is not a weakly prime, because it can be changed into another prime (506001701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253000860 + 253000861.

It is an arithmetic number, because the mean of its divisors is an integer number (253000861).

Almost surely, 2^506001721 is an apocalyptic number.

It is an amenable number.

506001721 is a deficient number, since it is larger than the sum of its proper divisors (1).

506001721 is an equidigital number, since it uses as much as digits as its factorization.

506001721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 506001721 is about 22494.4820122625. The cubic root of 506001721 is about 796.8636162946.

The spelling of 506001721 in words is "five hundred six million, one thousand, seven hundred twenty-one".