257133765 has 32 divisors (see below), whose sum is σ = 481130496. Its totient is φ = 114811200.

The previous prime is 257133763. The next prime is 257133787. The reversal of 257133765 is 567331752.

It is not a de Polignac number, because 257133765 - 2¹ = 257133763 is a prime.

It is a super-3 number, since 3×257133765³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257133761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23961 + ... + 32990.

It is an arithmetic number, because the mean of its divisors is an integer number (15035328).

Almost surely, 2^257133765 is an apocalyptic number.

It is an amenable number.

257133765 is a deficient number, since it is larger than the sum of its proper divisors (223996731).

257133765 is a wasteful number, since it uses less digits than its factorization.

257133765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57009.

The product of its digits is 132300, while the sum is 39.

The square root of 257133765 is about 16035.3910148771. The cubic root of 257133765 is about 635.8964048466.

The spelling of 257133765 in words is "two hundred fifty-seven million, one hundred thirty-three thousand, seven hundred sixty-five".