501013 has 2 divisors, whose sum is σ = 501014. Its totient is φ = 501012.

The previous prime is 501001. The next prime is 501019. The reversal of 501013 is 310105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253009 + 248004 = 503^2 + 498^2 .

It is a cyclic number.

It is not a de Polignac number, because 501013 - 2⁹ = 500501 is a prime.

501013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (501019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250506 + 250507.

It is an arithmetic number, because the mean of its divisors is an integer number (250507).

2⁵⁰¹⁰¹³ is an apocalyptic number.

It is an amenable number.

501013 is a deficient number, since it is larger than the sum of its proper divisors (1).

501013 is an equidigital number, since it uses as much as digits as its factorization.

501013 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 10.

The square root of 501013 is about 707.8227179174. The cubic root of 501013 is about 79.4236176826.

Adding to 501013 its reverse (310105), we get a palindrome (811118).

The spelling of 501013 in words is "five hundred one thousand, thirteen".