1027523025 has 27 divisors (see below), whose sum is σ = 1841269521. Its totient is φ = 547755840.

The previous prime is 1027523023. The next prime is 1027523069. The reversal of 1027523025 is 5203257201.

The square root of 1027523025 is 32055.

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

It can be written as a sum of positive squares in 4 ways, for example, as 439363521 + 588159504 = 20961^2 + 24252^2 .

It is not a de Polignac number, because 1027523025 - 2¹ = 1027523023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1027523025.

It is not an unprimeable number, because it can be changed into a prime (1027523023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 479757 + ... + 481893.

Almost surely, 2^1027523025 is an apocalyptic number.

1027523025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1027523025 is the 32055-th square number.

1027523025 is the 16028-th centered octagonal number.

It is an amenable number.

1027523025 is a deficient number, since it is larger than the sum of its proper divisors (813746496).

1027523025 is an frugal number, since it uses more digits than its factorization.

1027523025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The cubic root of 1027523025 is about 1009.0914369588.

The spelling of 1027523025 in words is "one billion, twenty-seven million, five hundred twenty-three thousand, twenty-five".