257040565134321 has 8 divisors (see below), whose sum is σ = 347415558355360. Its totient is φ = 169012974334752.

The previous prime is 257040565134259. The next prime is 257040565134389. The reversal of 257040565134321 is 123431565040752.

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

It is not a de Polignac number, because 257040565134321 - 2¹⁴ = 257040565117937 is a prime.

It is a super-2 number, since 2×257040565134321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257040565134421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586850605111 + ... + 586850605548.

It is an arithmetic number, because the mean of its divisors is an integer number (43426944794420).

Almost surely, 2^{257040565134321} is an apocalyptic number.

It is an amenable number.

257040565134321 is a deficient number, since it is larger than the sum of its proper divisors (90374993221039).

257040565134321 is a wasteful number, since it uses less digits than its factorization.

257040565134321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173701210735.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 257040565134321 in words is "two hundred fifty-seven trillion, forty billion, five hundred sixty-five million, one hundred thirty-four thousand, three hundred twenty-one".