506258781 has 32 divisors (see below), whose sum is σ = 822374400. Its totient is φ = 270578880.

The previous prime is 506258777. The next prime is 506258803. The reversal of 506258781 is 187852605.

It is not a de Polignac number, because 506258781 - 2² = 506258777 is a prime.

It is a super-2 number, since 2×506258781² = 512595906679211922, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506258741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23491 + ... + 39551.

It is an arithmetic number, because the mean of its divisors is an integer number (25699200).

Almost surely, 2^506258781 is an apocalyptic number.

It is an amenable number.

506258781 is a deficient number, since it is larger than the sum of its proper divisors (316115619).

506258781 is a wasteful number, since it uses less digits than its factorization.

506258781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169.

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 506258781 is about 22500.1951324872. The cubic root of 506258781 is about 796.9985348627.

The spelling of 506258781 in words is "five hundred six million, two hundred fifty-eight thousand, seven hundred eighty-one".