55205017058601 has 24 divisors (see below), whose sum is σ = 79782613471080. Its totient is φ = 36783946899456.

The previous prime is 55205017058593. The next prime is 55205017058651. The reversal of 55205017058601 is 10685071050255.

55205017058601 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 50 + 17 + 0 + 586 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3752356410000 + 51452660648601 = 1937100^2 + 7173051^2 .

It is not a de Polignac number, because 55205017058601 - 2³ = 55205017058593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55205017058651) 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, 343454485 + ... + 343615181.

It is an arithmetic number, because the mean of its divisors is an integer number (3324275561295).

Almost surely, 2^{55205017058601} is an apocalyptic number.

It is an amenable number.

55205017058601 is a deficient number, since it is larger than the sum of its proper divisors (24577596412479).

55205017058601 is a wasteful number, since it uses less digits than its factorization.

55205017058601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180585 (or 180582 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 55205017058601 in words is "fifty-five trillion, two hundred five billion, seventeen million, fifty-eight thousand, six hundred one".