212405765625 has 63 divisors (see below), whose sum is σ = 383817801913. Its totient is φ = 113190900000.

The previous prime is 212405765573. The next prime is 212405765669. The reversal of 212405765625 is 526567504212.

The square root of 212405765625 is 460875.

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

212405765625 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 576 + 56 + 25 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 199854596601 + 12551169024 = 447051^2 + 112032^2 .

It is not a de Polignac number, because 212405765625 - 2⁹ = 212405765113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 172827511 + ... + 172828739.

Almost surely, 2^212405765625 is an apocalyptic number.

212405765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212405765625 is the 460875-th square number.

212405765625 is the 230438-th centered octagonal number.

It is an amenable number.

212405765625 is a deficient number, since it is larger than the sum of its proper divisors (171412036288).

212405765625 is an frugal number, since it uses more digits than its factorization.

212405765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 212405765625 in words is "two hundred twelve billion, four hundred five million, seven hundred sixty-five thousand, six hundred twenty-five".