212516352 has 80 divisors (see below), whose sum is σ = 629104080. Its totient is φ = 70834176.

The previous prime is 212516347. The next prime is 212516357. The reversal of 212516352 is 253615212.

It is a happy number.

212516352 is a `hidden beast` number, since 2 + 1 + 25 + 1 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (212516347) and next prime (212516357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212516357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6138 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (7863801).

Almost surely, 2^212516352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314552040).

212516352 is an abundant number, since it is smaller than the sum of its proper divisors (416587728).

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

212516352 is an equidigital number, since it uses as much as digits as its factorization.

212516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400 (or 15378 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 212516352 is about 14577.9405952967. The cubic root of 212516352 is about 596.7569021100.

The spelling of 212516352 in words is "two hundred twelve million, five hundred sixteen thousand, three hundred fifty-two".