212354552565 has 24 divisors (see below), whose sum is σ = 368981210520. Its totient is φ = 112978842624.

The previous prime is 212354552519. The next prime is 212354552593. The reversal of 212354552565 is 565255453212.

212354552565 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 545 + 52 + 56 + 5 = 666.

212354552565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65409597009 + 146944955556 = 255753^2 + 383334^2 .

It is not a de Polignac number, because 212354552565 - 2³² = 208059585269 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212354552565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5750532 + ... + 5787341.

It is an arithmetic number, because the mean of its divisors is an integer number (15374217105).

Almost surely, 2^212354552565 is an apocalyptic number.

It is an amenable number.

212354552565 is a deficient number, since it is larger than the sum of its proper divisors (156626657955).

212354552565 is a wasteful number, since it uses less digits than its factorization.

212354552565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11538293 (or 11538290 counting only the distinct ones).

The product of its digits is 1800000, while the sum is 45.

It can be divided in two parts, 21235 and 4552565, that added together give a triangular number (4573800 = T₃₀₂₄).

The spelling of 212354552565 in words is "two hundred twelve billion, three hundred fifty-four million, five hundred fifty-two thousand, five hundred sixty-five".