505506055500601 has 16 divisors (see below), whose sum is σ = 511666472471616. Its totient is φ = 499368497400000.

The previous prime is 505506055500587. The next prime is 505506055500653. The reversal of 505506055500601 is 106005550605505.

It is a cyclic number.

It is not a de Polignac number, because 505506055500601 - 2⁷ = 505506055500473 is a prime.

It is a super-2 number, since 2×505506055500601² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505506055500701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501004546 + ... + 502012516.

It is an arithmetic number, because the mean of its divisors is an integer number (31979154529476).

Almost surely, 2^{505506055500601} is an apocalyptic number.

It is an amenable number.

505506055500601 is a deficient number, since it is larger than the sum of its proper divisors (6160416971015).

505506055500601 is a wasteful number, since it uses less digits than its factorization.

505506055500601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019304.

The product of its (nonzero) digits is 562500, while the sum is 43.

The spelling of 505506055500601 in words is "five hundred five trillion, five hundred six billion, fifty-five million, five hundred thousand, six hundred one".