506749747947605 has 8 divisors (see below), whose sum is σ = 614120486622264. Its totient is φ = 401385938968000.

The previous prime is 506749747947589. The next prime is 506749747947623.

506749747947605 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 238318289628721 + 268431458318884 = 15437561^2 + 16383878^2 .

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

It is not a de Polignac number, because 506749747947605 - 2⁴ = 506749747947589 is a prime.

It is a super-2 number, since 2×506749747947605² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506749747947605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501732423206 + ... + 501732424215.

It is an arithmetic number, because the mean of its divisors is an integer number (76765060827783).

Almost surely, 2^{506749747947605} is an apocalyptic number.

It is an amenable number.

506749747947605 is a deficient number, since it is larger than the sum of its proper divisors (107370738674659).

506749747947605 is a wasteful number, since it uses less digits than its factorization.

506749747947605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003464847527.

The product of its (nonzero) digits is 11202105600, while the sum is 80.

The spelling of 506749747947605 in words is "five hundred six trillion, seven hundred forty-nine billion, seven hundred forty-seven million, nine hundred forty-seven thousand, six hundred five".