1822783511025 has 27 divisors (see below), whose sum is σ = 3264844072971. Its totient is φ = 972140405040.

The previous prime is 1822783510957. The next prime is 1822783511027. The reversal of 1822783511025 is 5201153872281.

The square root of 1822783511025 is 1350105.

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

1822783511025 is a `hidden beast` number, since 1 + 8 + 2 + 278 + 351 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 656202063969 + 1166581447056 = 810063^2 + 1080084^2 .

It is not a de Polignac number, because 1822783511025 - 2¹³ = 1822783502833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1822783511027) 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, 20206572 + ... + 20296578.

Almost surely, 2^{1822783511025} is an apocalyptic number.

1822783511025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1822783511025 is the 1350105-th square number.

1822783511025 is the 675053-rd centered octagonal number.

It is an amenable number.

1822783511025 is a deficient number, since it is larger than the sum of its proper divisors (1442060561946).

1822783511025 is an frugal number, since it uses more digits than its factorization.

1822783511025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180030 (or 90015 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1822783511025 in words is "one trillion, eight hundred twenty-two billion, seven hundred eighty-three million, five hundred eleven thousand, twenty-five".