506586639001 has 3 divisors (see below), whose sum is σ = 506587350751. Its totient is φ = 506585927252.

The previous prime is 506586638983. The next prime is 506586639007. The reversal of 506586639001 is 100936685605.

It is a happy number.

The square root of 506586639001 is 711749.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 380320123401 + 126266515600 = 616701^2 + 355340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-506586639001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506586639007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 355875 + ... + 1067623.

Almost surely, 2^506586639001 is an apocalyptic number.

506586639001 is the 711749-th square number.

506586639001 is the 355875-th centered octagonal number.

It is an amenable number.

506586639001 is a deficient number, since it is larger than the sum of its proper divisors (711750).

506586639001 is an frugal number, since it uses more digits than its factorization.

506586639001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423498 (or 711749 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 506586639001 by its sum of digits (49), we get a square (24822745311049 = 4982243²).

The spelling of 506586639001 in words is "five hundred six billion, five hundred eighty-six million, six hundred thirty-nine thousand, one".