55505505500505 has 12 divisors (see below), whose sum is σ = 96209542867620. Its totient is φ = 29602936266912.

The previous prime is 55505505500503. The next prime is 55505505500519. The reversal of 55505505500505 is 50500550550555.

It can be written as a sum of positive squares in 2 ways, for example, as 13753024169049 + 41752481331456 = 3708507^2 + 6461616^2 .

It is not a de Polignac number, because 55505505500505 - 2¹ = 55505505500503 is a prime.

It is a super-2 number, since 2×55505505500505² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1233455677789 = 55505505500505 / (5 + 5 + 5 + 0 + 5 + 5 + 0 + 5 + 5 + 0 + 0 + 5 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (55505505500503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616727838850 + ... + 616727838939.

It is an arithmetic number, because the mean of its divisors is an integer number (8017461905635).

Almost surely, 2^{55505505500505} is an apocalyptic number.

It is an amenable number.

55505505500505 is a deficient number, since it is larger than the sum of its proper divisors (40704037367115).

55505505500505 is a wasteful number, since it uses less digits than its factorization.

55505505500505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233455677800 (or 1233455677797 counting only the distinct ones).

The product of its (nonzero) digits is 1953125, while the sum is 45.

The spelling of 55505505500505 in words is "fifty-five trillion, five hundred five billion, five hundred five million, five hundred thousand, five hundred five".