212793077025 has 243 divisors, whose sum is σ = 426794023929. Its totient is φ = 105219544320.

The previous prime is 212793077023. The next prime is 212793077047. The reversal of 212793077025 is 520770397212.

The square root of 212793077025 is 461295.

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

212793077025 is a `hidden beast` number, since 2 + 1 + 279 + 307 + 70 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4977443601 + 207815633424 = 70551^2 + 455868^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 212793077025 - 2¹ = 212793077023 is a prime.

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 (212793077023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3176016042 + ... + 3176016108.

Almost surely, 2^212793077025 is an apocalyptic number.

212793077025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212793077025 is the 461295-th square number.

212793077025 is the 230648-th centered octagonal number.

It is an amenable number.

212793077025 is an abundant number, since it is smaller than the sum of its proper divisors (214000946904).

212793077025 is an frugal number, since it uses more digits than its factorization.

212793077025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 212793077025 in words is "two hundred twelve billion, seven hundred ninety-three million, seventy-seven thousand, twenty-five".