4065975225 has 135 divisors (see below), whose sum is σ = 8231018103. Its totient is φ = 1983346560.

The previous prime is 4065975211. The next prime is 4065975227. The reversal of 4065975225 is 5225795604.

The square root of 4065975225 is 63765.

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

4065975225 is a `hidden beast` number, since 4 + 0 + 6 + 597 + 52 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3279509289 + 786465936 = 57267^2 + 28044^2 .

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

It is not a de Polignac number, because 4065975225 - 2¹³ = 4065967033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4065975227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 37302471 + ... + 37302579.

Almost surely, 2^4065975225 is an apocalyptic number.

4065975225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4065975225 is the 63765-th square number.

4065975225 is the 31883-rd centered octagonal number.

It is an amenable number.

4065975225 is an abundant number, since it is smaller than the sum of its proper divisors (4165042878).

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

4065975225 is a wasteful number, since it uses less digits than its factorization.

4065975225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The cubic root of 4065975225 is about 1596.0809324949.

The spelling of 4065975225 in words is "four billion, sixty-five million, nine hundred seventy-five thousand, two hundred twenty-five".