252621305 has 24 divisors (see below), whose sum is σ = 319523400. Its totient is φ = 191713280.

The previous prime is 252621277. The next prime is 252621323. The reversal of 252621305 is 503126252.

It can be written as a sum of positive squares in 4 ways, for example, as 27741289 + 224880016 = 5267^2 + 14996^2 .

It is not a de Polignac number, because 252621305 - 2¹⁸ = 252359161 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 393785 + ... + 394425.

It is an arithmetic number, because the mean of its divisors is an integer number (13313475).

Almost surely, 2^252621305 is an apocalyptic number.

It is an amenable number.

252621305 is a deficient number, since it is larger than the sum of its proper divisors (66902095).

252621305 is a wasteful number, since it uses less digits than its factorization.

252621305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 252621305 is about 15894.0650873211. The cubic root of 252621305 is about 632.1546323879.

Adding to 252621305 its reverse (503126252), we get a palindrome (755747557).

The spelling of 252621305 in words is "two hundred fifty-two million, six hundred twenty-one thousand, three hundred five".