256819059 has 16 divisors (see below), whose sum is σ = 434826240. Its totient is φ = 146753640.

The previous prime is 256819049. The next prime is 256819103. The reversal of 256819059 is 950918652.

It is not a de Polignac number, because 256819059 - 2⁵ = 256819027 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (256819009) 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, 679227 + ... + 679604.

It is an arithmetic number, because the mean of its divisors is an integer number (27176640).

Almost surely, 2^256819059 is an apocalyptic number.

256819059 is a deficient number, since it is larger than the sum of its proper divisors (178007181).

256819059 is a wasteful number, since it uses less digits than its factorization.

256819059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358847 (or 1358841 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 256819059 is about 16025.5751534851. The cubic root of 256819059 is about 635.6368744138.

The spelling of 256819059 in words is "two hundred fifty-six million, eight hundred nineteen thousand, fifty-nine".