213852258312 has 64 divisors (see below), whose sum is σ = 666552499200. Its totient is φ = 55546040640.

The previous prime is 213852258311. The next prime is 213852258313.

213852258312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (213852258311) and next prime (213852258313).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (213852258311) by changing a digit.

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, 57858612 + ... + 57862307.

It is an arithmetic number, because the mean of its divisors is an integer number (10414882800).

Almost surely, 2^213852258312 is an apocalyptic number.

213852258312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213852258312 is an abundant number, since it is smaller than the sum of its proper divisors (452700240888).

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

213852258312 is a wasteful number, since it uses less digits than its factorization.

213852258312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115720946 (or 115720942 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 213852258312 in words is "two hundred thirteen billion, eight hundred fifty-two million, two hundred fifty-eight thousand, three hundred twelve".