2001446825625 has 135 divisors (see below), whose sum is σ = 3914530767147. Its totient is φ = 984648600000.

The previous prime is 2001446825593. The next prime is 2001446825713. The reversal of 2001446825625 is 5265286441002.

The square root of 2001446825625 is 1414725.

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

2001446825625 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 4 + 6 + 82 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1976889428361 + 24557397264 = 1406019^2 + 156708^2 .

It is not a de Polignac number, because 2001446825625 - 2⁵ = 2001446825593 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1379356150 + ... + 1379357600.

Almost surely, 2^{2001446825625} is an apocalyptic number.

2001446825625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2001446825625 is the 1414725-th square number.

2001446825625 is the 707363-rd centered octagonal number.

It is an amenable number.

2001446825625 is a deficient number, since it is larger than the sum of its proper divisors (1913083941522).

2001446825625 is an frugal number, since it uses more digits than its factorization.

2001446825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2001446825625 in words is "two trillion, one billion, four hundred forty-six million, eight hundred twenty-five thousand, six hundred twenty-five".