802653995457 has 12 divisors (see below), whose sum is σ = 1159536468324. Its totient is φ = 535034649600.

The previous prime is 802653995443. The next prime is 802653995471. The reversal of 802653995457 is 754599356208.

802653995457 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 539 + 95 + 4 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (802653995443) and next prime (802653995471).

It can be written as a sum of positive squares in 2 ways, for example, as 286657443216 + 515996552241 = 535404^2 + 718329^2 .

It is not a de Polignac number, because 802653995457 - 2¹¹ = 802653993409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 802653995394 and 802653995403.

It is not an unprimeable number, because it can be changed into a prime (802653995057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5593044 + ... + 5734757.

It is an arithmetic number, because the mean of its divisors is an integer number (96628039027).

Almost surely, 2^802653995457 is an apocalyptic number.

It is an amenable number.

802653995457 is a deficient number, since it is larger than the sum of its proper divisors (356882472867).

802653995457 is a wasteful number, since it uses less digits than its factorization.

802653995457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335680 (or 11335677 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 802653995457 in words is "eight hundred two billion, six hundred fifty-three million, nine hundred ninety-five thousand, four hundred fifty-seven".