512211104031 has 32 divisors (see below), whose sum is σ = 789673142016. Its totient is φ = 291869120000.

The previous prime is 512211104029. The next prime is 512211104047. The reversal of 512211104031 is 130401112215.

It is a cyclic number.

It is not a de Polignac number, because 512211104031 - 2¹ = 512211104029 is a prime.

It is a super-3 number, since 3×512211104031³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 512211103989 and 512211104007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512211104051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74581 + ... + 1014881.

It is an arithmetic number, because the mean of its divisors is an integer number (24677285688).

Almost surely, 2^512211104031 is an apocalyptic number.

512211104031 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

512211104031 is a deficient number, since it is larger than the sum of its proper divisors (277462037985).

512211104031 is a wasteful number, since it uses less digits than its factorization.

512211104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941303.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 512211104031 its reverse (130401112215), we get a palindrome (642612216246).

The spelling of 512211104031 in words is "five hundred twelve billion, two hundred eleven million, one hundred four thousand, thirty-one".