252142641 has 27 divisors (see below), whose sum is σ = 374462361. Its totient is φ = 163490184.

The previous prime is 252142633. The next prime is 252142687. The reversal of 252142641 is 146241252.

The square root of 252142641 is 15879.

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

252142641 is a `hidden beast` number, since 2 + 5 + 2 + 14 + 2 + 641 = 666.

It is not a de Polignac number, because 252142641 - 2³ = 252142633 is a prime.

It is a super-2 number, since 2×252142641² = 127151822820909762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252142601) 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, 3191640 + ... + 3191718.

Almost surely, 2^252142641 is an apocalyptic number.

252142641 is the 15879-th square number.

252142641 is the 7940-th centered octagonal number.

It is an amenable number.

252142641 is a deficient number, since it is larger than the sum of its proper divisors (122319720).

252142641 is an frugal number, since it uses more digits than its factorization.

252142641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The cubic root of 252142641 is about 631.7551134573.

Adding to 252142641 its reverse (146241252), we get a palindrome (398383893).

The spelling of 252142641 in words is "two hundred fifty-two million, one hundred forty-two thousand, six hundred forty-one".