213765567312 has 160 divisors (see below), whose sum is σ = 639319080960. Its totient is φ = 60828252160.

The previous prime is 213765567283. The next prime is 213765567341.

213765567312 is nontrivially palindromic in base 10.

213765567312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213765567283) and next prime (213765567341).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3949489 + ... + 4003247.

It is an arithmetic number, because the mean of its divisors is an integer number (3995744256).

Almost surely, 2^213765567312 is an apocalyptic number.

213765567312 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 213765567312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319659540480).

213765567312 is an abundant number, since it is smaller than the sum of its proper divisors (425553513648).

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

213765567312 is a wasteful number, since it uses less digits than its factorization.

213765567312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54241 (or 54235 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The spelling of 213765567312 in words is "two hundred thirteen billion, seven hundred sixty-five million, five hundred sixty-seven thousand, three hundred twelve".