213061987584 has 54 divisors (see below), whose sum is σ = 614310242546. Its totient is φ = 71020661760.

The previous prime is 213061987573. The next prime is 213061987591. The reversal of 213061987584 is 485789160312.

213061987584 is a `hidden beast` number, since 2 + 1 + 306 + 198 + 75 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141580617984 + 71481369600 = 376272^2 + 267360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213061987584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46235107 + ... + 46239714.

It is a 1-persistent number, because it is pandigital, but 2⋅213061987584 = 426123975168 is not.

Almost surely, 2^213061987584 is an apocalyptic number.

213061987584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213061987584 is an abundant number, since it is smaller than the sum of its proper divisors (401248254962).

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

213061987584 is an equidigital number, since it uses as much as digits as its factorization.

213061987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92474843 (or 92474826 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 213061987584 in words is "two hundred thirteen billion, sixty-one million, nine hundred eighty-seven thousand, five hundred eighty-four".