1001304253 has 2 divisors, whose sum is σ = 1001304254. Its totient is φ = 1001304252.

The previous prime is 1001304217. The next prime is 1001304259. The reversal of 1001304253 is 3524031001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949995684 + 51308569 = 30822^2 + 7163^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001304253 - 2⁹ = 1001303741 is a prime.

It is a super-3 number, since 3×1001304253³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1001304253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001304259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500652126 + 500652127.

It is an arithmetic number, because the mean of its divisors is an integer number (500652127).

Almost surely, 2^1001304253 is an apocalyptic number.

It is an amenable number.

1001304253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001304253 is an equidigital number, since it uses as much as digits as its factorization.

1001304253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1001304253 is about 31643.3919325979. The cubic root of 1001304253 is about 1000.4345621284.

Adding to 1001304253 its reverse (3524031001), we get a palindrome (4525335254).

The spelling of 1001304253 in words is "one billion, one million, three hundred four thousand, two hundred fifty-three".