512531125213221 has 24 divisors (see below), whose sum is σ = 748908631238040. Its totient is φ = 337727441373696.

The previous prime is 512531125213127. The next prime is 512531125213229. The reversal of 512531125213221 is 122312521135215.

512531125213221 is a `hidden beast` number, since 5 + 1 + 253 + 1 + 1 + 252 + 132 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50130010865025 + 462401114348196 = 7080255^2 + 21503514^2 .

It is not a de Polignac number, because 512531125213221 - 2⁹ = 512531125212709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512531125213229) 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, 112143600 + ... + 116624393.

It is an arithmetic number, because the mean of its divisors is an integer number (31204526301585).

Almost surely, 2^{512531125213221} is an apocalyptic number.

It is an amenable number.

512531125213221 is a deficient number, since it is larger than the sum of its proper divisors (236377506024819).

512531125213221 is a wasteful number, since it uses less digits than its factorization.

512531125213221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228770885 (or 228770882 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

Adding to 512531125213221 its reverse (122312521135215), we get a palindrome (634843646348436).

The spelling of 512531125213221 in words is "five hundred twelve trillion, five hundred thirty-one billion, one hundred twenty-five million, two hundred thirteen thousand, two hundred twenty-one".