1827593053225 has 27 divisors (see below), whose sum is σ = 2289730652751. Its totient is φ = 1447057704000.

The previous prime is 1827593053217. The next prime is 1827593053249. The reversal of 1827593053225 is 5223503957281.

The square root of 1827593053225 is 1351885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1277141831449 + 550451221776 = 1130107^2 + 741924^2 .

It is not a de Polignac number, because 1827593053225 - 2³ = 1827593053217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 682700587 + ... + 682703263.

Almost surely, 2^{1827593053225} is an apocalyptic number.

1827593053225 is the 1351885-th square number.

1827593053225 is the 675943-rd centered octagonal number.

It is an amenable number.

1827593053225 is a deficient number, since it is larger than the sum of its proper divisors (462137599526).

1827593053225 is an frugal number, since it uses more digits than its factorization.

1827593053225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 1827593053225 in words is "one trillion, eight hundred twenty-seven billion, five hundred ninety-three million, fifty-three thousand, two hundred twenty-five".