1779409263025 has 27 divisors (see below), whose sum is σ = 2215177407723. Its totient is φ = 1417930177200.

The previous prime is 1779409262963. The next prime is 1779409263029. The reversal of 1779409263025 is 5203629049771.

The square root of 1779409263025 is 1333945.

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., 640587334689 + 1138821928336 = 800367^2 + 1067156^2 .

It is not a de Polignac number, because 1779409263025 - 2¹¹ = 1779409260977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1779409263029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2874651166 + ... + 2874651784.

Almost surely, 2^{1779409263025} is an apocalyptic number.

1779409263025 is the 1333945-th square number.

1779409263025 is the 666973-rd centered octagonal number.

It is an amenable number.

1779409263025 is a deficient number, since it is larger than the sum of its proper divisors (435768144698).

1779409263025 is an frugal number, since it uses more digits than its factorization.

1779409263025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 1779409263025 in words is "one trillion, seven hundred seventy-nine billion, four hundred nine million, two hundred sixty-three thousand, twenty-five".