2213176905625 has 45 divisors (see below), whose sum is σ = 3217488567051. Its totient is φ = 1517428500000.

The previous prime is 2213176905613. The next prime is 2213176905677. The reversal of 2213176905625 is 5265096713122.

The square root of 2213176905625 is 1487675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2213010289161 + 166616464 = 1487619^2 + 12908^2 .

It is not a de Polignac number, because 2213176905625 - 2²¹ = 2213174808473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 260338875 + ... + 260347375.

Almost surely, 2^{2213176905625} is an apocalyptic number.

2213176905625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2213176905625 is the 1487675-th square number.

2213176905625 is the 743838-th centered octagonal number.

It is an amenable number.

2213176905625 is a deficient number, since it is larger than the sum of its proper divisors (1004311661426).

2213176905625 is an frugal number, since it uses more digits than its factorization.

2213176905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17036 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 2213176905625 by its sum of digits (49), we get a square (108445668375625 = 10413725²).

2213176905625 divided by its sum of digits (49) gives a square (45166875625 = 212525²).

The spelling of 2213176905625 in words is "two trillion, two hundred thirteen billion, one hundred seventy-six million, nine hundred five thousand, six hundred twenty-five".