505133025025 has 12 divisors (see below), whose sum is σ = 627175278972. Its totient is φ = 403583627840.

The previous prime is 505133025011. The next prime is 505133025031. The reversal of 505133025025 is 520520331505.

It can be written as a sum of positive squares in 6 ways, for example, as 6821273281 + 498311751744 = 82591^2 + 705912^2 .

It is not a de Polignac number, because 505133025025 - 2¹⁵ = 505132992257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13050094 + ... + 13088743.

It is an arithmetic number, because the mean of its divisors is an integer number (52264606581).

Almost surely, 2^505133025025 is an apocalyptic number.

It is an amenable number.

505133025025 is a deficient number, since it is larger than the sum of its proper divisors (122042253947).

505133025025 is a wasteful number, since it uses less digits than its factorization.

505133025025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26139620 (or 26139615 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The spelling of 505133025025 in words is "five hundred five billion, one hundred thirty-three million, twenty-five thousand, twenty-five".