1055117241721 has 3 divisors (see below), whose sum is σ = 1055118268911. Its totient is φ = 1055116214532.

The previous prime is 1055117241677. The next prime is 1055117241757. The reversal of 1055117241721 is 1271427115501.

The square root of 1055117241721 is 1027189.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 870509526121 + 184607715600 = 933011^2 + 429660^2 .

It is not a de Polignac number, because 1055117241721 - 2³⁷ = 917678288249 is a prime.

It is a super-2 number, since 2×1055117241721² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055117241781) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 513595 + ... + 1540783.

It is an arithmetic number, because the mean of its divisors is an integer number (351706089637).

Almost surely, 2^{1055117241721} is an apocalyptic number.

1055117241721 is the 1027189-th square number.

1055117241721 is the 513595-th centered octagonal number.

It is an amenable number.

1055117241721 is a deficient number, since it is larger than the sum of its proper divisors (1027190).

1055117241721 is an frugal number, since it uses more digits than its factorization.

1055117241721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054378 (or 1027189 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 37.

The spelling of 1055117241721 in words is "one trillion, fifty-five billion, one hundred seventeen million, two hundred forty-one thousand, seven hundred twenty-one".