212513820 has 48 divisors (see below), whose sum is σ = 595703808. Its totient is φ = 56607040.

The previous prime is 212513771. The next prime is 212513831. The reversal of 212513820 is 28315212.

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, 80725 + ... + 83315.

It is an arithmetic number, because the mean of its divisors is an integer number (12410496).

Almost surely, 2^212513820 is an apocalyptic number.

212513820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212513820 is an abundant number, since it is smaller than the sum of its proper divisors (383189988).

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

212513820 is a wasteful number, since it uses less digits than its factorization.

212513820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 212513820 is about 14577.8537514958. The cubic root of 212513820 is about 596.7545321050.

The spelling of 212513820 in words is "two hundred twelve million, five hundred thirteen thousand, eight hundred twenty".