213141252534 has 128 divisors (see below), whose sum is σ = 504807690240. Its totient is φ = 58743619200.

The previous prime is 213141252509. The next prime is 213141252557. The reversal of 213141252534 is 435252141312.

It is a super-2 number, since 2×213141252534² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213141252495 and 213141252504.

It is a congruent number.

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, 29554189 + ... + 29561399.

It is an arithmetic number, because the mean of its divisors is an integer number (3943810080).

Almost surely, 2^213141252534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213141252534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252403845120).

213141252534 is an abundant number, since it is smaller than the sum of its proper divisors (291666437706).

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

213141252534 is a wasteful number, since it uses less digits than its factorization.

213141252534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7506.

The product of its digits is 28800, while the sum is 33.

Adding to 213141252534 its reverse (435252141312), we get a palindrome (648393393846).

The spelling of 213141252534 in words is "two hundred thirteen billion, one hundred forty-one million, two hundred fifty-two thousand, five hundred thirty-four".