1066349025 has 81 divisors (see below), whose sum is σ = 2228945043. Its totient is φ = 485906400.

The previous prime is 1066348993. The next prime is 1066349051. The reversal of 1066349025 is 5209436601.

It is a happy number.

The square root of 1066349025 is 32655.

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

1066349025 is a `hidden beast` number, since 10 + 6 + 634 + 9 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 383885649 + 682463376 = 19593^2 + 26124^2 .

It is not a de Polignac number, because 1066349025 - 2⁵ = 1066348993 is a prime.

It is a super-2 number, since 2×1066349025² = 2274200486236901250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3428620 + ... + 3428930.

Almost surely, 2^1066349025 is an apocalyptic number.

1066349025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1066349025 is the 32655-th square number.

1066349025 is the 16328-th centered octagonal number.

It is an amenable number.

1066349025 is an abundant number, since it is smaller than the sum of its proper divisors (1162596018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066349025 is an equidigital number, since it uses as much as digits as its factorization.

1066349025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 1066349025 is about 1021.6444782035.

Multiplying 1066349025 by its sum of digits (36), we get a square (38388564900 = 195930²).

The spelling of 1066349025 in words is "one billion, sixty-six million, three hundred forty-nine thousand, twenty-five".