55505560101001 has 8 divisors (see below), whose sum is σ = 57420234301320. Its totient is φ = 53590931858688.

The previous prime is 55505560100993. The next prime is 55505560101071. The reversal of 55505560101001 is 10010106550555.

It can be written as a sum of positive squares in 4 ways, for example, as 7348219777600 + 48157340323401 = 2710760^2 + 6939549^2 .

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 55505560101001 - 2³ = 55505560100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55505560101071) 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, 9023376 + ... + 13872001.

It is an arithmetic number, because the mean of its divisors is an integer number (7177529287665).

Almost surely, 2^{55505560101001} is an apocalyptic number.

It is an amenable number.

55505560101001 is a deficient number, since it is larger than the sum of its proper divisors (1914674200319).

55505560101001 is a wasteful number, since it uses less digits than its factorization.

55505560101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22979003.

The product of its (nonzero) digits is 18750, while the sum is 34.

Adding to 55505560101001 its reverse (10010106550555), we get a palindrome (65515666651556).

The spelling of 55505560101001 in words is "fifty-five trillion, five hundred five billion, five hundred sixty million, one hundred one thousand, one".