506000257 has 8 divisors (see below), whose sum is σ = 612302976. Its totient is φ = 408201792.

The previous prime is 506000251. The next prime is 506000263. The reversal of 506000257 is 752000605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506000251) and next prime (506000263).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506000257 - 2³ = 506000249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506000251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2125933 + ... + 2126170.

It is an arithmetic number, because the mean of its divisors is an integer number (76537872).

Almost surely, 2^506000257 is an apocalyptic number.

It is an amenable number.

506000257 is a deficient number, since it is larger than the sum of its proper divisors (106302719).

506000257 is a wasteful number, since it uses less digits than its factorization.

506000257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252127.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 506000257 is about 22494.4494709250. The cubic root of 506000257 is about 796.8628477798.

The spelling of 506000257 in words is "five hundred six million, two hundred fifty-seven", and thus it is an aban number.