2177055985225 has 81 divisors (see below), whose sum is σ = 3004340313429. Its totient is φ = 1563778022400.

The previous prime is 2177055985213. The next prime is 2177055985267. The reversal of 2177055985225 is 5225895507712.

It is a happy number.

The square root of 2177055985225 is 1475485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 350136108729 + 1826919876496 = 591723^2 + 1351636^2 .

It is not a de Polignac number, because 2177055985225 - 2⁵ = 2177055985193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2177055985225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11280082729 + ... + 11280082921.

Almost surely, 2^{2177055985225} is an apocalyptic number.

2177055985225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2177055985225 is the 1475485-th square number.

2177055985225 is the 737743-rd centered octagonal number.

It is an amenable number.

2177055985225 is a deficient number, since it is larger than the sum of its proper divisors (827284328204).

2177055985225 is an equidigital number, since it uses as much as digits as its factorization.

2177055985225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 58.

The spelling of 2177055985225 in words is "two trillion, one hundred seventy-seven billion, fifty-five million, nine hundred eighty-five thousand, two hundred twenty-five".