1105555055561 has 12 divisors (see below), whose sum is σ = 1221910698372. Its totient is φ = 999497268000.

The previous prime is 1105555055543. The next prime is 1105555055651. The reversal of 1105555055561 is 1655505555011.

It can be written as a sum of positive squares in 2 ways, for example, as 8835060025 + 1096719995536 = 93995^2 + 1047244^2 .

It is not a de Polignac number, because 1105555055561 - 2¹⁸ = 1105554793417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105555555561) 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, 25217930 + ... + 25261731.

It is an arithmetic number, because the mean of its divisors is an integer number (101825891531).

Almost surely, 2^{1105555055561} is an apocalyptic number.

1105555055561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1105555055561 is a deficient number, since it is larger than the sum of its proper divisors (116355642811).

1105555055561 is a wasteful number, since it uses less digits than its factorization.

1105555055561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50479864 (or 50479853 counting only the distinct ones).

The product of its (nonzero) digits is 468750, while the sum is 44.

Multiplying 1105555055561 by its sum of digits (44), we get a palindrome (48644422444684).

It can be divided in two parts, 11055550 and 55561, that added together give a palindrome (11111111).

The spelling of 1105555055561 in words is "one trillion, one hundred five billion, five hundred fifty-five million, fifty-five thousand, five hundred sixty-one".