1742608566241 has 9 divisors (see below), whose sum is σ = 1746173450259. Its totient is φ = 1739050953336.

The previous prime is 1742608566227. The next prime is 1742608566247. The reversal of 1742608566241 is 1426658062471.

The square root of 1742608566241 is 1320079.

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

It can be written as a sum of positive squares in only one way, i.e., 899509980625 + 843098585616 = 948425^2 + 918204^2 .

It is not a de Polignac number, because 1742608566241 - 2¹⁵ = 1742608533473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1742608566247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 848809771 + ... + 848811823.

It is an arithmetic number, because the mean of its divisors is an integer number (194019272251).

Almost surely, 2^{1742608566241} is an apocalyptic number.

1742608566241 is the 1320079-th square number.

1742608566241 is the 660040-th centered octagonal number.

It is an amenable number.

1742608566241 is a deficient number, since it is larger than the sum of its proper divisors (3564884018).

1742608566241 is an frugal number, since it uses more digits than its factorization.

1742608566241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 1742608566241 in words is "one trillion, seven hundred forty-two billion, six hundred eight million, five hundred sixty-six thousand, two hundred forty-one".