211313514852 has 192 divisors, whose sum is σ = 660325478400. Its totient is φ = 57647208960.

The previous prime is 211313514833. The next prime is 211313514899. The reversal of 211313514852 is 258415313112.

211313514852 is a `hidden beast` number, since 2 + 1 + 131 + 3 + 514 + 8 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237049 + ... + 691967.

It is an arithmetic number, because the mean of its divisors is an integer number (3439195200).

Almost surely, 2^211313514852 is an apocalyptic number.

211313514852 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 211313514852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330162739200).

211313514852 is an abundant number, since it is smaller than the sum of its proper divisors (449011963548).

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

211313514852 is a wasteful number, since it uses less digits than its factorization.

211313514852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454983 (or 454975 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 211313514852 its reverse (258415313112), we get a palindrome (469728827964).

The spelling of 211313514852 in words is "two hundred eleven billion, three hundred thirteen million, five hundred fourteen thousand, eight hundred fifty-two".