252761025 has 24 divisors (see below), whose sum is σ = 455890464. Its totient is φ = 122550400.

The previous prime is 252760997. The next prime is 252761057. The reversal of 252761025 is 520167252.

It is not a de Polignac number, because 252761025 - 2⁵ = 252760993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252760983 and 252761001.

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 23 ways as a sum of consecutive naturals, for example, 152364 + ... + 154013.

It is an arithmetic number, because the mean of its divisors is an integer number (18995436).

Almost surely, 2^252761025 is an apocalyptic number.

252761025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252761025 is a deficient number, since it is larger than the sum of its proper divisors (203129439).

252761025 is a wasteful number, since it uses less digits than its factorization.

252761025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306401 (or 306396 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 252761025 is about 15898.4598310654. The cubic root of 252761025 is about 632.2711551104.

The spelling of 252761025 in words is "two hundred fifty-two million, seven hundred sixty-one thousand, twenty-five".