211314012552 has 96 divisors (see below), whose sum is σ = 592200063000. Its totient is φ = 67991132160.

The previous prime is 211314012551. The next prime is 211314012557. The reversal of 211314012552 is 255210413112.

It is a happy number.

211314012552 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 401 + 255 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182402451396 + 28911561156 = 427086^2 + 170034^2 .

It is a super-2 number, since 2×211314012552² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211314012551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9512274 + ... + 9534462.

Almost surely, 2^211314012552 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 211314012552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296100031500).

211314012552 is an abundant number, since it is smaller than the sum of its proper divisors (380886050448).

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

211314012552 is a wasteful number, since it uses less digits than its factorization.

211314012552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26791 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 211314012552 its reverse (255210413112), we get a palindrome (466524425664).

The spelling of 211314012552 in words is "two hundred eleven billion, three hundred fourteen million, twelve thousand, five hundred fifty-two".