2192813064225 has 189 divisors, whose sum is σ = 4745390352867. Its totient is φ = 1001789117280.

The previous prime is 2192813064163. The next prime is 2192813064259. The reversal of 2192813064225 is 5224603182912.

The square root of 2192813064225 is 1480815.

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

2192813064225 is a `hidden beast` number, since 2 + 1 + 9 + 281 + 306 + 42 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 789412703121 + 1403400361104 = 888489^2 + 1184652^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 2192813064225 - 2¹⁷ = 2192812933153 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 188 ways as a sum of consecutive naturals, for example, 1399369392 + ... + 1399370958.

Almost surely, 2^{2192813064225} is an apocalyptic number.

2192813064225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2192813064225 is the 1480815-th square number.

2192813064225 is the 740408-th centered octagonal number.

It is an amenable number.

2192813064225 is an abundant number, since it is smaller than the sum of its proper divisors (2552577288642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2192813064225 is an frugal number, since it uses more digits than its factorization.

2192813064225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2192813064225 in words is "two trillion, one hundred ninety-two billion, eight hundred thirteen million, sixty-four thousand, two hundred twenty-five".