506817649 has 6 divisors (see below), whose sum is σ = 548802726. Its totient is φ = 467831520.

The previous prime is 506817643. The next prime is 506817653. The reversal of 506817649 is 946718605.

It can be written as a sum of positive squares in 3 ways, for example, as 14288400 + 492529249 = 3780^2 + 22193^2 .

It is not a de Polignac number, because 506817649 - 2¹⁵ = 506784881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506817599 and 506817608.

It is not an unprimeable number, because it can be changed into a prime (506817643) 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, 1499292 + ... + 1499629.

It is an arithmetic number, because the mean of its divisors is an integer number (91467121).

Almost surely, 2^506817649 is an apocalyptic number.

It is an amenable number.

506817649 is a deficient number, since it is larger than the sum of its proper divisors (41985077).

506817649 is a wasteful number, since it uses less digits than its factorization.

506817649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998947 (or 2998934 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 506817649 is about 22512.6108881222. The cubic root of 506817649 is about 797.2917005935.

The spelling of 506817649 in words is "five hundred six million, eight hundred seventeen thousand, six hundred forty-nine".