253201309 has 2 divisors, whose sum is σ = 253201310. Its totient is φ = 253201308.

The previous prime is 253201261. The next prime is 253201337. The reversal of 253201309 is 903102352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241709209 + 11492100 = 15547^2 + 3390^2 .

It is a cyclic number.

It is not a de Polignac number, because 253201309 - 2¹⁹ = 252677021 is a prime.

It is a super-2 number, since 2×253201309² = 128221805758626962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253201339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126600654 + 126600655.

It is an arithmetic number, because the mean of its divisors is an integer number (126600655).

Almost surely, 2^253201309 is an apocalyptic number.

It is an amenable number.

253201309 is a deficient number, since it is larger than the sum of its proper divisors (1).

253201309 is an equidigital number, since it uses as much as digits as its factorization.

253201309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 253201309 is about 15912.3005564877. The cubic root of 253201309 is about 632.6380595064.

The spelling of 253201309 in words is "two hundred fifty-three million, two hundred one thousand, three hundred nine".