802541257 has 12 divisors (see below), whose sum is σ = 956340756. Its totient is φ = 671112960.

The previous prime is 802541251. The next prime is 802541261. The reversal of 802541257 is 752145208.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 480661776 + 321879481 = 21924^2 + 17941^2 .

It is not a de Polignac number, because 802541257 - 2¹¹ = 802539209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (802541251) 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 in 11 ways as a sum of consecutive naturals, for example, 197728 + ... + 201745.

It is an arithmetic number, because the mean of its divisors is an integer number (79695063).

Almost surely, 2^802541257 is an apocalyptic number.

It is an amenable number.

802541257 is a deficient number, since it is larger than the sum of its proper divisors (153799499).

802541257 is a wasteful number, since it uses less digits than its factorization.

802541257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399528 (or 399521 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 802541257 is about 28329.1591297730. The cubic root of 802541257 is about 929.2996835886.

The spelling of 802541257 in words is "eight hundred two million, five hundred forty-one thousand, two hundred fifty-seven".