666272225025 has 405 divisors, whose sum is σ = 1456064369067. Its totient is φ = 300904243200.

The previous prime is 666272225023. The next prime is 666272225039. The reversal of 666272225025 is 520522272666.

The square root of 666272225025 is 816255.

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 265324919409 + 400947305616 = 515097^2 + 633204^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 666272225025 - 2¹ = 666272225023 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (666272225023) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 6868785777 + ... + 6868785873.

Almost surely, 2^666272225025 is an apocalyptic number.

666272225025 is the 816255-th square number.

666272225025 is the 408128-th centered octagonal number.

It is an amenable number.

666272225025 is an abundant number, since it is smaller than the sum of its proper divisors (789792144042).

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

666272225025 is a wasteful number, since it uses less digits than its factorization.

666272225025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 666272225025 in words is "six hundred sixty-six billion, two hundred seventy-two million, two hundred twenty-five thousand, twenty-five".