506261916 has 72 divisors (see below), whose sum is σ = 1367300480. Its totient is φ = 157471776.

The previous prime is 506261909. The next prime is 506261923. The reversal of 506261916 is 619162605.

506261916 is a `hidden beast` number, since 5 + 0 + 626 + 19 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (506261909) and next prime (506261923).

It is a super-2 number, since 2×506261916² = 512602255183982112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40305 + ... + 51351.

Almost surely, 2^506261916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506261916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683650240).

506261916 is an abundant number, since it is smaller than the sum of its proper divisors (861038564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506261916 is a wasteful number, since it uses less digits than its factorization.

506261916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11143 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 506261916 is about 22500.2647984418. The cubic root of 506261916 is about 797.0001799932. Note that the first 3 decimals are identical.

The spelling of 506261916 in words is "five hundred six million, two hundred sixty-one thousand, nine hundred sixteen".