505607580001 has 8 divisors (see below), whose sum is σ = 536001286824. Its totient is φ = 475286327040.

The previous prime is 505607579977. The next prime is 505607580043. The reversal of 505607580001 is 100085706505.

It can be written as a sum of positive squares in 4 ways, for example, as 216061350976 + 289546229025 = 464824^2 + 538095^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 505607580001 - 2¹¹ = 505607577953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505607580061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18099090 + ... + 18127003.

It is an arithmetic number, because the mean of its divisors is an integer number (67000160853).

Almost surely, 2^505607580001 is an apocalyptic number.

It is an amenable number.

505607580001 is a deficient number, since it is larger than the sum of its proper divisors (30393706823).

505607580001 is a wasteful number, since it uses less digits than its factorization.

505607580001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36226931.

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 505607580001 in words is "five hundred five billion, six hundred seven million, five hundred eighty thousand, one".