257068977505 has 8 divisors (see below), whose sum is σ = 308485665000. Its totient is φ = 205653254016.

The previous prime is 257068977421. The next prime is 257068977527. The reversal of 257068977505 is 505779860752.

257068977505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163234584529 + 93834392976 = 404023^2 + 306324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257068977505 - 2²⁷ = 256934759777 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 635421 + ... + 958069.

It is an arithmetic number, because the mean of its divisors is an integer number (38560708125).

Almost surely, 2^257068977505 is an apocalyptic number.

It is an amenable number.

257068977505 is a deficient number, since it is larger than the sum of its proper divisors (51416687495).

257068977505 is a wasteful number, since it uses less digits than its factorization.

257068977505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482003.

The product of its (nonzero) digits is 37044000, while the sum is 61.

The spelling of 257068977505 in words is "two hundred fifty-seven billion, sixty-eight million, nine hundred seventy-seven thousand, five hundred five".