55005101 has 2 divisors, whose sum is σ = 55005102. Its totient is φ = 55005100.

The previous prime is 55005079. The next prime is 55005109. The reversal of 55005101 is 10150055.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39363076 + 15642025 = 6274^2 + 3955^2 .

It is a cyclic number.

It is not a de Polignac number, because 55005101 - 2⁶ = 55005037 is a prime.

It is a super-2 number, since 2×55005101² = 6051122272040402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55005101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55005109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27502550 + 27502551.

It is an arithmetic number, because the mean of its divisors is an integer number (27502551).

Almost surely, 2^55005101 is an apocalyptic number.

It is an amenable number.

55005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

55005101 is an equidigital number, since it uses as much as digits as its factorization.

55005101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 55005101 is about 7416.5423884719. The cubic root of 55005101 is about 380.3070025978.

Adding to 55005101 its reverse (10150055), we get a palindrome (65155156).

It can be divided in two parts, 5500 and 5101, that added together give a palindrome (10601).

The spelling of 55005101 in words is "fifty-five million, five thousand, one hundred one".