801253205257 has 2 divisors, whose sum is σ = 801253205258. Its totient is φ = 801253205256.

The previous prime is 801253205183. The next prime is 801253205273. The reversal of 801253205257 is 752502352108.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 606647823376 + 194605381881 = 778876^2 + 441141^2 .

It is a cyclic number.

It is not a de Polignac number, because 801253205257 - 2¹¹ = 801253203209 is a prime.

It is not a weakly prime, because it can be changed into another prime (801253245257) 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, 400626602628 + 400626602629.

It is an arithmetic number, because the mean of its divisors is an integer number (400626602629).

Almost surely, 2^801253205257 is an apocalyptic number.

It is an amenable number.

801253205257 is a deficient number, since it is larger than the sum of its proper divisors (1).

801253205257 is an equidigital number, since it uses as much as digits as its factorization.

801253205257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 801253205257 in words is "eight hundred one billion, two hundred fifty-three million, two hundred five thousand, two hundred fifty-seven".