252841801 has 3 divisors (see below), whose sum is σ = 252857703. Its totient is φ = 252825900.

The previous prime is 252841781. The next prime is 252841843. The reversal of 252841801 is 108148252.

The square root of 252841801 is 15901.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 251254201 + 1587600 = 15851^2 + 1260^2 .

It is not a de Polignac number, because 252841801 - 2¹¹ = 252839753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252841871) 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 2 ways as a sum of consecutive naturals, for example, 7951 + ... + 23851.

It is an arithmetic number, because the mean of its divisors is an integer number (84285901).

Almost surely, 2^252841801 is an apocalyptic number.

252841801 is the 15901-st square number.

252841801 is the 7951-st centered octagonal number.

It is an amenable number.

252841801 is a deficient number, since it is larger than the sum of its proper divisors (15902).

252841801 is an frugal number, since it uses more digits than its factorization.

252841801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31802 (or 15901 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The cubic root of 252841801 is about 632.3385005346.

The spelling of 252841801 in words is "two hundred fifty-two million, eight hundred forty-one thousand, eight hundred one".