506105655601 has 12 divisors (see below), whose sum is σ = 634022470452. Its totient is φ = 400435243488.

The previous prime is 506105655599. The next prime is 506105655631. The reversal of 506105655601 is 106556501605.

It can be written as a sum of positive squares in 2 ways, for example, as 211282719025 + 294822936576 = 459655^2 + 542976^2 .

It is not a de Polignac number, because 506105655601 - 2¹ = 506105655599 is a prime.

It is a super-2 number, since 2×506105655601² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506105655631) 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 11 ways as a sum of consecutive naturals, for example, 397256550 + ... + 397257823.

It is an arithmetic number, because the mean of its divisors is an integer number (52835205871).

Almost surely, 2^506105655601 is an apocalyptic number.

It is an amenable number.

506105655601 is a deficient number, since it is larger than the sum of its proper divisors (127916814851).

506105655601 is a wasteful number, since it uses less digits than its factorization.

506105655601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794514400 (or 794514393 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 506105655601 in words is "five hundred six billion, one hundred five million, six hundred fifty-five thousand, six hundred one".