512053311225 has 72 divisors (see below), whose sum is σ = 895649862240. Its totient is φ = 258098480640.

The previous prime is 512053311127. The next prime is 512053311227. The reversal of 512053311225 is 522113350215.

It is not a de Polignac number, because 512053311225 - 2²⁰ = 512052262649 is a prime.

It is a super-2 number, since 2×512053311225² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512053311192 and 512053311201.

It is not an unprimeable number, because it can be changed into a prime (512053311227) 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, 11321857 + ... + 11366993.

It is an arithmetic number, because the mean of its divisors is an integer number (12439581420).

Almost surely, 2^512053311225 is an apocalyptic number.

It is an amenable number.

512053311225 is a deficient number, since it is larger than the sum of its proper divisors (383596551015).

512053311225 is a wasteful number, since it uses less digits than its factorization.

512053311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45607 (or 45583 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 512053311225 in words is "five hundred twelve billion, fifty-three million, three hundred eleven thousand, two hundred twenty-five".