212525424 has 80 divisors (see below), whose sum is σ = 613428000. Its totient is φ = 70447104.

The previous prime is 212525419. The next prime is 212525437. The reversal of 212525424 is 424525212.

212525424 is a `hidden beast` number, since 212 + 5 + 25 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82102 + ... + 84650.

It is an arithmetic number, because the mean of its divisors is an integer number (7667850).

Almost surely, 2^212525424 is an apocalyptic number.

212525424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212525424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306714000).

212525424 is an abundant number, since it is smaller than the sum of its proper divisors (400902576).

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

212525424 is a wasteful number, since it uses less digits than its factorization.

212525424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2747 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 212525424 is about 14578.2517470374. The cubic root of 212525424 is about 596.7653935375.

The spelling of 212525424 in words is "two hundred twelve million, five hundred twenty-five thousand, four hundred twenty-four".