212531005152 has 72 divisors (see below), whose sum is σ = 612035555040. Its totient is φ = 69946905600.

The previous prime is 212531005117. The next prime is 212531005153. The reversal of 212531005152 is 251500135212.

212531005152 is a `hidden beast` number, since 21 + 25 + 3 + 100 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212531005153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4647849 + ... + 4693352.

It is an arithmetic number, because the mean of its divisors is an integer number (8500493820).

Almost surely, 2^212531005152 is an apocalyptic number.

It is an amenable number.

212531005152 is an abundant number, since it is smaller than the sum of its proper divisors (399504549888).

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

212531005152 is a wasteful number, since it uses less digits than its factorization.

212531005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9341296 (or 9341285 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 212531005152 in words is "two hundred twelve billion, five hundred thirty-one million, five thousand, one hundred fifty-two".