511311432204225 has 72 divisors (see below), whose sum is σ = 916149780554112. Its totient is φ = 272599932009600.

The previous prime is 511311432204119. The next prime is 511311432204227. The reversal of 511311432204225 is 522402234113115.

511311432204225 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 1 + 1 + 4 + 3 + 220 + 422 + 5 = 666.

It is not a de Polignac number, because 511311432204225 - 2⁹ = 511311432203713 is a prime.

It is a super-2 number, since 2×511311432204225² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511311432204225.

It is not an unprimeable number, because it can be changed into a prime (511311432204227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19340737707 + ... + 19340764143.

It is an arithmetic number, because the mean of its divisors is an integer number (12724302507696).

Almost surely, 2^{511311432204225} is an apocalyptic number.

It is an amenable number.

511311432204225 is a deficient number, since it is larger than the sum of its proper divisors (404838348349887).

511311432204225 is a wasteful number, since it uses less digits than its factorization.

511311432204225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54567 (or 54559 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 511311432204225 in words is "five hundred eleven trillion, three hundred eleven billion, four hundred thirty-two million, two hundred four thousand, two hundred twenty-five".