212152520 has 64 divisors (see below), whose sum is σ = 510591600. Its totient is φ = 79052800.

The previous prime is 212152519. The next prime is 212152531. The reversal of 212152520 is 25251212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 206267044 + 5885476 = 14362^2 + 2426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212152492 and 212152501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67136 + ... + 70224.

Almost surely, 2^212152520 is an apocalyptic number.

212152520 is a gapful number since it is divisible by the number (20) 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 212152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255295800).

212152520 is an abundant number, since it is smaller than the sum of its proper divisors (298439080).

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

212152520 is a wasteful number, since it uses less digits than its factorization.

212152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 212152520 is about 14565.4563951838. The cubic root of 212152520 is about 596.4161545593.

The spelling of 212152520 in words is "two hundred twelve million, one hundred fifty-two thousand, five hundred twenty".