252714609 has 27 divisors (see below), whose sum is σ = 425190987. Its totient is φ = 144217584.

The previous prime is 252714607. The next prime is 252714617. The reversal of 252714609 is 906417252.

The square root of 252714609 is 15897.

It is a perfect power (a square), and thus also a powerful number.

252714609 is a `hidden beast` number, since 25 + 27 + 1 + 4 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156125025 + 96589584 = 12495^2 + 9828^2 .

It is not a de Polignac number, because 252714609 - 2¹ = 252714607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252714607) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 333459 + ... + 334215.

Almost surely, 2^252714609 is an apocalyptic number.

252714609 is the 15897-th square number.

252714609 is the 7949-th centered octagonal number.

It is an amenable number.

252714609 is a deficient number, since it is larger than the sum of its proper divisors (172476378).

252714609 is an frugal number, since it uses more digits than its factorization.

252714609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 252714609 is about 632.2324501788.

Multiplying 252714609 by its sum of digits (36), we get a square (9097725924 = 95382²).

The spelling of 252714609 in words is "two hundred fifty-two million, seven hundred fourteen thousand, six hundred nine".