802007402257 has 2 divisors, whose sum is σ = 802007402258. Its totient is φ = 802007402256.

The previous prime is 802007402197. The next prime is 802007402267. The reversal of 802007402257 is 752204700208.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801999055936 + 8346321 = 895544^2 + 2889^2 .

It is a cyclic number.

It is not a de Polignac number, because 802007402257 - 2⁷ = 802007402129 is a prime.

It is not a weakly prime, because it can be changed into another prime (802007402267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401003701128 + 401003701129.

It is an arithmetic number, because the mean of its divisors is an integer number (401003701129).

Almost surely, 2^802007402257 is an apocalyptic number.

It is an amenable number.

802007402257 is a deficient number, since it is larger than the sum of its proper divisors (1).

802007402257 is an equidigital number, since it uses as much as digits as its factorization.

802007402257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 802007402257 in words is "eight hundred two billion, seven million, four hundred two thousand, two hundred fifty-seven".