257056536 has 64 divisors (see below), whose sum is σ = 716014080. Its totient is φ = 76234880.

The previous prime is 257056531. The next prime is 257056543. The reversal of 257056536 is 635650752.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 257056494 and 257056503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257056531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050 + ... + 22766.

It is an arithmetic number, because the mean of its divisors is an integer number (11187720).

Almost surely, 2^257056536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257056536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358007040).

257056536 is an abundant number, since it is smaller than the sum of its proper divisors (458957544).

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

257056536 is a wasteful number, since it uses less digits than its factorization.

257056536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20780 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The square root of 257056536 is about 16032.9827543099. The cubic root of 257056536 is about 635.8327355720.

The spelling of 257056536 in words is "two hundred fifty-seven million, fifty-six thousand, five hundred thirty-six".