1819706571225 has 135 divisors (see below), whose sum is σ = 3486571758351. Its totient is φ = 938232136800.

The previous prime is 1819706571181. The next prime is 1819706571283. The reversal of 1819706571225 is 5221756079181.

The square root of 1819706571225 is 1348965.

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., 655094365641 + 1164612205584 = 809379^2 + 1079172^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1819706571225 - 2¹³ = 1819706563033 is a prime.

It is a super-2 number, since 2×1819706571225² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1881805692 + ... + 1881806658.

Almost surely, 2^{1819706571225} is an apocalyptic number.

1819706571225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1819706571225 is the 1348965-th square number.

1819706571225 is the 674483-rd centered octagonal number.

It is an amenable number.

1819706571225 is a deficient number, since it is larger than the sum of its proper divisors (1666865187126).

1819706571225 is an frugal number, since it uses more digits than its factorization.

1819706571225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 1819706571225 in words is "one trillion, eight hundred nineteen billion, seven hundred six million, five hundred seventy-one thousand, two hundred twenty-five".