2068807572225 has 45 divisors (see below), whose sum is σ = 3832266664083. Its totient is φ = 1103329518480.

The previous prime is 2068807572211. The next prime is 2068807572289. The reversal of 2068807572225 is 5222757088602.

The square root of 2068807572225 is 1438335.

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

2068807572225 is a `hidden beast` number, since 2 + 0 + 68 + 8 + 0 + 7 + 572 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 744770726001 + 1324036846224 = 863001^2 + 1150668^2 .

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

It is not a de Polignac number, because 2068807572225 - 2⁹ = 2068807571713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64709094 + ... + 64741056.

Almost surely, 2^{2068807572225} is an apocalyptic number.

2068807572225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2068807572225 is the 1438335-th square number.

2068807572225 is the 719168-th centered octagonal number.

It is an amenable number.

2068807572225 is a deficient number, since it is larger than the sum of its proper divisors (1763459091858).

2068807572225 is an frugal number, since it uses more digits than its factorization.

2068807572225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63948 (or 31971 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2068807572225 in words is "two trillion, sixty-eight billion, eight hundred seven million, five hundred seventy-two thousand, two hundred twenty-five".