252641541 has 8 divisors (see below), whose sum is σ = 340640640. Its totient is φ = 166535072.

The previous prime is 252641527. The next prime is 252641551. The reversal of 252641541 is 145146252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252641541 - 2⁵ = 252641509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252641499 and 252641508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252641551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472845 + ... + 473378.

It is an arithmetic number, because the mean of its divisors is an integer number (42580080).

Almost surely, 2^252641541 is an apocalyptic number.

It is an amenable number.

252641541 is a deficient number, since it is larger than the sum of its proper divisors (87999099).

252641541 is an equidigital number, since it uses as much as digits as its factorization.

252641541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946315.

The product of its digits is 9600, while the sum is 30.

The square root of 252641541 is about 15894.7016643912. The cubic root of 252641541 is about 632.1715113279.

Adding to 252641541 its reverse (145146252), we get a palindrome (397787793).

The spelling of 252641541 in words is "two hundred fifty-two million, six hundred forty-one thousand, five hundred forty-one".