506636001 has 24 divisors (see below), whose sum is σ = 741316680. Its totient is φ = 333398016.

The previous prime is 506635999. The next prime is 506636021. The reversal of 506636001 is 100636605.

506636001 is a `hidden beast` number, since 50 + 6 + 6 + 3 + 600 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14861025 + 491774976 = 3855^2 + 22176^2 .

It is not a de Polignac number, because 506636001 - 2¹ = 506635999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506636021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236905 + ... + 239033.

It is an arithmetic number, because the mean of its divisors is an integer number (30888195).

Almost surely, 2^506636001 is an apocalyptic number.

It is an amenable number.

506636001 is a deficient number, since it is larger than the sum of its proper divisors (234680679).

506636001 is a wasteful number, since it uses less digits than its factorization.

506636001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 506636001 is about 22508.5761655419. The cubic root of 506636001 is about 797.1964370413.

The spelling of 506636001 in words is "five hundred six million, six hundred thirty-six thousand, one".