252917641 has 2 divisors, whose sum is σ = 252917642. Its totient is φ = 252917640.

The previous prime is 252917627. The next prime is 252917647. The reversal of 252917641 is 146719252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249513616 + 3404025 = 15796^2 + 1845^2 .

It is a cyclic number.

It is not a de Polignac number, because 252917641 - 2¹⁵ = 252884873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252917641.

It is not a weakly prime, because it can be changed into another prime (252917647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126458820 + 126458821.

It is an arithmetic number, because the mean of its divisors is an integer number (126458821).

Almost surely, 2^252917641 is an apocalyptic number.

It is an amenable number.

252917641 is a deficient number, since it is larger than the sum of its proper divisors (1).

252917641 is an equidigital number, since it uses as much as digits as its factorization.

252917641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 252917641 is about 15903.3845768755. The cubic root of 252917641 is about 632.4017176103.

The spelling of 252917641 in words is "two hundred fifty-two million, nine hundred seventeen thousand, six hundred forty-one".