506272072345 has 8 divisors (see below), whose sum is σ = 654259293576. Its totient is φ = 373862453376.

The previous prime is 506272072333. The next prime is 506272072349. The reversal of 506272072345 is 543270272605.

It can be written as a sum of positive squares in 4 ways, for example, as 7684976896 + 498587095449 = 87664^2 + 706107^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506272072345 - 2²¹ = 506269975193 is a prime.

It is a super-2 number, since 2×506272072345² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506272072349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3894400492 + ... + 3894400621.

It is an arithmetic number, because the mean of its divisors is an integer number (81782411697).

Almost surely, 2^506272072345 is an apocalyptic number.

It is an amenable number.

506272072345 is a deficient number, since it is larger than the sum of its proper divisors (147987221231).

506272072345 is a wasteful number, since it uses less digits than its factorization.

506272072345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788801131.

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 506272072345 in words is "five hundred six billion, two hundred seventy-two million, seventy-two thousand, three hundred forty-five".