252645237 has 20 divisors (see below), whose sum is σ = 406441420. Its totient is φ = 155473344.

The previous prime is 252645233. The next prime is 252645241. The reversal of 252645237 is 732546252.

252645237 is a `hidden beast` number, since 2 + 5 + 2 + 645 + 2 + 3 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (252645233) and next prime (252645241).

It can be written as a sum of positive squares in 2 ways, for example, as 51969681 + 200675556 = 7209^2 + 14166^2 .

It is not a de Polignac number, because 252645237 - 2² = 252645233 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252645233) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 118912 + ... + 121017.

It is an arithmetic number, because the mean of its divisors is an integer number (20322071).

Almost surely, 2^252645237 is an apocalyptic number.

252645237 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

252645237 is a deficient number, since it is larger than the sum of its proper divisors (153796183).

252645237 is a wasteful number, since it uses less digits than its factorization.

252645237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239954 (or 239945 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 252645237 is about 15894.8179291239. The cubic root of 252645237 is about 632.1745940811.

The spelling of 252645237 in words is "two hundred fifty-two million, six hundred forty-five thousand, two hundred thirty-seven".