213812252596152 has 512 divisors, whose sum is σ = 690466982400000. Its totient is φ = 60045853464576.

The previous prime is 213812252596139. The next prime is 213812252596153. The reversal of 213812252596152 is 251695252218312.

213812252596152 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 1 + 2 + 2 + 525 + 9 + 61 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213812252596153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43555151874 + ... + 43555156782.

It is an arithmetic number, because the mean of its divisors is an integer number (1348568325000).

Almost surely, 2^{213812252596152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213812252596152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345233491200000).

213812252596152 is an abundant number, since it is smaller than the sum of its proper divisors (476654729803848).

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

213812252596152 is a wasteful number, since it uses less digits than its factorization.

213812252596152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7050 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 213812252596152 in words is "two hundred thirteen trillion, eight hundred twelve billion, two hundred fifty-two million, five hundred ninety-six thousand, one hundred fifty-two".