4012589025 has 81 divisors (see below), whose sum is σ = 7438775097. Its totient is φ = 2067580800.

The previous prime is 4012589023. The next prime is 4012589041. The reversal of 4012589025 is 5209852104.

The square root of 4012589025 is 63345.

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

4012589025 is a `hidden beast` number, since 40 + 12 + 589 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1688963409 + 2323625616 = 41097^2 + 48204^2 .

It is not a de Polignac number, because 4012589025 - 2¹ = 4012589023 is a prime.

It is a super-2 number, since 2×4012589025² = 32201741367100901250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4012589023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38957124 + ... + 38957226.

Almost surely, 2^4012589025 is an apocalyptic number.

4012589025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4012589025 is the 63345-th square number.

4012589025 is the 31673-rd centered octagonal number.

It is an amenable number.

4012589025 is a deficient number, since it is larger than the sum of its proper divisors (3426186072).

4012589025 is a wasteful number, since it uses less digits than its factorization.

4012589025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 4012589025 is about 1589.0646272483.

Multiplying 4012589025 by its sum of digits (36), we get a square (144453204900 = 380070²).

The spelling of 4012589025 in words is "four billion, twelve million, five hundred eighty-nine thousand, twenty-five".