257164317250660 has 12 divisors (see below), whose sum is σ = 540045066226428. Its totient is φ = 102865726900256.

The previous prime is 257164317250649. The next prime is 257164317250663. The reversal of 257164317250660 is 66052713461752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40470667062336 + 216693650188324 = 6361656^2 + 14720518^2 .

It is a super-2 number, since 2×257164317250660² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257164317250663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6429107931247 + ... + 6429107931286.

It is an arithmetic number, because the mean of its divisors is an integer number (45003755518869).

Almost surely, 2^{257164317250660} is an apocalyptic number.

257164317250660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257164317250660 is an abundant number, since it is smaller than the sum of its proper divisors (282880748975768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257164317250660 is a wasteful number, since it uses less digits than its factorization.

257164317250660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858215862542 (or 12858215862540 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 257164317250660 in words is "two hundred fifty-seven trillion, one hundred sixty-four billion, three hundred seventeen million, two hundred fifty thousand, six hundred sixty".