1005601100055 has 32 divisors (see below), whose sum is σ = 1642907703744. Its totient is φ = 525112528896.

The previous prime is 1005601100051. The next prime is 1005601100083. The reversal of 1005601100055 is 5500011065001.

1005601100055 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005601100055 - 2² = 1005601100051 is a prime.

It is a super-2 number, since 2×1005601100055² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005601099998 and 1005601100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005601100051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201654 + ... + 3501683.

It is an arithmetic number, because the mean of its divisors is an integer number (51340865742).

Almost surely, 2^{1005601100055} is an apocalyptic number.

1005601100055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005601100055 is a deficient number, since it is larger than the sum of its proper divisors (637306603689).

1005601100055 is a wasteful number, since it uses less digits than its factorization.

1005601100055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703555.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 1005601100055 its reverse (5500011065001), we get a palindrome (6505612165056).

The spelling of 1005601100055 in words is "one trillion, five billion, six hundred one million, one hundred thousand, fifty-five".