506616741 has 32 divisors (see below), whose sum is σ = 798268800. Its totient is φ = 316638720.

The previous prime is 506616731. The next prime is 506616749. The reversal of 506616741 is 147616605.

It is not a de Polignac number, because 506616741 - 2²⁵ = 473062309 is a prime.

It is a super-2 number, since 2×506616741² = 513321044522922162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506616696 and 506616705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506616749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44671 + ... + 54851.

It is an arithmetic number, because the mean of its divisors is an integer number (24945900).

Almost surely, 2^506616741 is an apocalyptic number.

It is an amenable number.

506616741 is a deficient number, since it is larger than the sum of its proper divisors (291652059).

506616741 is a wasteful number, since it uses less digits than its factorization.

506616741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 506616741 is about 22508.1483245513. The cubic root of 506616741 is about 797.1863349839.

The spelling of 506616741 in words is "five hundred six million, six hundred sixteen thousand, seven hundred forty-one".