252509437 has 12 divisors (see below), whose sum is σ = 259124404. Its totient is φ = 246055680.

The previous prime is 252509431. The next prime is 252509473. The reversal of 252509437 is 734905252.

It can be written as a sum of positive squares in 6 ways, for example, as 35212356 + 217297081 = 5934^2 + 14741^2 .

It is not a de Polignac number, because 252509437 - 2³ = 252509429 is a prime.

It is a super-3 number, since 3×252509437³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252509396 and 252509405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252509431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676783 + ... + 677155.

Almost surely, 2^252509437 is an apocalyptic number.

It is an amenable number.

252509437 is a deficient number, since it is larger than the sum of its proper divisors (6614967).

252509437 is an equidigital number, since it uses as much as digits as its factorization.

252509437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 252509437 is about 15890.5455224168. The cubic root of 252509437 is about 632.0613065094.

The spelling of 252509437 in words is "two hundred fifty-two million, five hundred nine thousand, four hundred thirty-seven".