252773005025 has 12 divisors (see below), whose sum is σ = 313444763772. Its totient is φ = 202214379840.

The previous prime is 252773005013. The next prime is 252773005033. The reversal of 252773005025 is 520500377252.

It can be written as a sum of positive squares in 6 ways, for example, as 31127897761 + 221645107264 = 176431^2 + 470792^2 .

It is not a de Polignac number, because 252773005025 - 2¹² = 252773000929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252773005025.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2382407 + ... + 2486243.

It is an arithmetic number, because the mean of its divisors is an integer number (26120396981).

Almost surely, 2^252773005025 is an apocalyptic number.

252773005025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252773005025 is a deficient number, since it is larger than the sum of its proper divisors (60671758747).

252773005025 is a wasteful number, since it uses less digits than its factorization.

252773005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201220 (or 201215 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 38.

The spelling of 252773005025 in words is "two hundred fifty-two billion, seven hundred seventy-three million, five thousand, twenty-five".