506682407294449 has 15 divisors (see below), whose sum is σ = 511919407508685. Its totient is φ = 501498737427240.

The previous prime is 506682407294417. The next prime is 506682407294461. The reversal of 506682407294449 is 944492704286605.

The square root of 506682407294449 is 22509607.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 497111303856049 + 9571103438400 = 22295993^2 + 3093720^2 .

It is not a de Polignac number, because 506682407294449 - 2⁵ = 506682407294417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506682407294149) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1203521157259 + ... + 1203521157679.

It is an arithmetic number, because the mean of its divisors is an integer number (34127960500579).

Almost surely, 2^{506682407294449} is an apocalyptic number.

506682407294449 is the 22509607-th square number.

506682407294449 is the 11254804-th centered octagonal number.

It is an amenable number.

506682407294449 is a deficient number, since it is larger than the sum of its proper divisors (5237000214236).

506682407294449 is an frugal number, since it uses more digits than its factorization.

506682407294449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 70.

The spelling of 506682407294449 in words is "five hundred six trillion, six hundred eighty-two billion, four hundred seven million, two hundred ninety-four thousand, four hundred forty-nine".