2006373096225 has 45 divisors (see below), whose sum is σ = 3716614609257. Its totient is φ = 1070031656160.

The previous prime is 2006373096223. The next prime is 2006373096251. The reversal of 2006373096225 is 5226903736002.

The square root of 2006373096225 is 1416465.

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

2006373096225 is a `hidden beast` number, since 2 + 0 + 0 + 637 + 3 + 0 + 9 + 6 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1249127649 + 2005123968576 = 35343^2 + 1416024^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2006373096225 - 2¹ = 2006373096223 is a prime.

It is a super-3 number, since 3×2006373096225³ (a number of 38 digits) contains 333 as substring.

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 (2006373096223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63725187 + ... + 63756663.

Almost surely, 2^{2006373096225} is an apocalyptic number.

2006373096225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2006373096225 is the 1416465-th square number.

2006373096225 is the 708233-rd centered octagonal number.

It is an amenable number.

2006373096225 is a deficient number, since it is larger than the sum of its proper divisors (1710241513032).

2006373096225 is an frugal number, since it uses more digits than its factorization.

2006373096225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62976 (or 31485 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 2006373096225 in words is "two trillion, six billion, three hundred seventy-three million, ninety-six thousand, two hundred twenty-five".