506301663 has 24 divisors (see below), whose sum is σ = 788624640. Its totient is φ = 288084720.

The previous prime is 506301659. The next prime is 506301689. The reversal of 506301663 is 366103605.

It is not a de Polignac number, because 506301663 - 2² = 506301659 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506301663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506801663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27928 + ... + 42338.

It is an arithmetic number, because the mean of its divisors is an integer number (32859360).

Almost surely, 2^506301663 is an apocalyptic number.

506301663 is a deficient number, since it is larger than the sum of its proper divisors (282322977).

506301663 is a wasteful number, since it uses less digits than its factorization.

506301663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 506301663 is about 22501.1480373780. The cubic root of 506301663 is about 797.0210371399.

The spelling of 506301663 in words is "five hundred six million, three hundred one thousand, six hundred sixty-three".