212513532 has 192 divisors, whose sum is σ = 666537984. Its totient is φ = 51010560.

The previous prime is 212513531. The next prime is 212513573. The reversal of 212513532 is 235315212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212513531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303683 + ... + 1303845.

It is an arithmetic number, because the mean of its divisors is an integer number (3471552).

Almost surely, 2^212513532 is an apocalyptic number.

212513532 is a gapful number since it is divisible by the number (22) 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 212513532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333268992).

212513532 is an abundant number, since it is smaller than the sum of its proper divisors (454024452).

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

212513532 is a wasteful number, since it uses less digits than its factorization.

212513532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 212513532 is about 14577.8438734951. The cubic root of 212513532 is about 596.7542625297.

Adding to 212513532 its reverse (235315212), we get a palindrome (447828744).

The spelling of 212513532 in words is "two hundred twelve million, five hundred thirteen thousand, five hundred thirty-two".