252517025 has 12 divisors (see below), whose sum is σ = 314293500. Its totient is φ = 201257280.

The previous prime is 252517019. The next prime is 252517051. The reversal of 252517025 is 520715252.

It can be written as a sum of positive squares in 6 ways, for example, as 60777616 + 191739409 = 7796^2 + 13847^2 .

It is not a de Polignac number, because 252517025 - 2⁶ = 252516961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12050 + ... + 25499.

It is an arithmetic number, because the mean of its divisors is an integer number (26191125).

Almost surely, 2^252517025 is an apocalyptic number.

252517025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252517025 is a deficient number, since it is larger than the sum of its proper divisors (61776475).

252517025 is a wasteful number, since it uses less digits than its factorization.

252517025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37828 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 252517025 is about 15890.7842789461. The cubic root of 252517025 is about 632.0676376697.

The spelling of 252517025 in words is "two hundred fifty-two million, five hundred seventeen thousand, twenty-five".