253052646250321 has 2 divisors, whose sum is σ = 253052646250322. Its totient is φ = 253052646250320.

The previous prime is 253052646250111. The next prime is 253052646250399. The reversal of 253052646250321 is 123052646250352.

253052646250321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250681862380096 + 2370783870225 = 15832936^2 + 1539735^2 .

It is a cyclic number.

It is not a de Polignac number, because 253052646250321 - 2²⁹ = 253052109379409 is a prime.

It is a super-2 number, since 2×253052646250321² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253052646250721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126526323125160 + 126526323125161.

It is an arithmetic number, because the mean of its divisors is an integer number (126526323125161).

Almost surely, 2^{253052646250321} is an apocalyptic number.

It is an amenable number.

253052646250321 is a deficient number, since it is larger than the sum of its proper divisors (1).

253052646250321 is an equidigital number, since it uses as much as digits as its factorization.

253052646250321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 253052646250321 in words is "two hundred fifty-three trillion, fifty-two billion, six hundred forty-six million, two hundred fifty thousand, three hundred twenty-one".