4566380625 has 135 divisors (see below), whose sum is σ = 8923887973. Its totient is φ = 2248896000.

The previous prime is 4566380593. The next prime is 4566380627. The reversal of 4566380625 is 5260836654.

4566380625 = T₂₀₆ + T₂₀₇ + ... + T₃₀₁₄.

The square root of 4566380625 is 67575.

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

4566380625 is a `hidden beast` number, since 4 + 5 + 6 + 638 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 4307428161 + 258952464 = 65631^2 + 16092^2 .

It is not a de Polignac number, because 4566380625 - 2⁵ = 4566380593 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4566380627) 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, 86158099 + ... + 86158151.

Almost surely, 2^4566380625 is an apocalyptic number.

4566380625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4566380625 is the 67575-th square number.

4566380625 is the 33788-th centered octagonal number.

It is an amenable number.

4566380625 is a deficient number, since it is larger than the sum of its proper divisors (4357507348).

4566380625 is an equidigital number, since it uses as much as digits as its factorization.

4566380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The cubic root of 4566380625 is about 1659.0419575906.

The spelling of 4566380625 in words is "four billion, five hundred sixty-six million, three hundred eighty thousand, six hundred twenty-five".