501057 has 6 divisors (see below), whose sum is σ = 723762. Its totient is φ = 334032.

The previous prime is 501043. The next prime is 501077. The reversal of 501057 is 750105.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 16641 = 696^2 + 129^2 .

It is not a de Polignac number, because 501057 - 2¹⁵ = 468289 is a prime.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 501057.

It is not an unprimeable number, because it can be changed into a prime (501037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27828 + ... + 27845.

It is an arithmetic number, because the mean of its divisors is an integer number (120627).

2⁵⁰¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

501057 is a deficient number, since it is larger than the sum of its proper divisors (222705).

501057 is a wasteful number, since it uses less digits than its factorization.

501057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55679 (or 55676 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 501057 is about 707.8537984641. The cubic root of 501057 is about 79.4259426634.

The spelling of 501057 in words is "five hundred one thousand, fifty-seven".