1256541 has 32 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 672000.

The previous prime is 1256533. The next prime is 1256543. The reversal of 1256541 is 1456521.

It is not a de Polignac number, because 1256541 - 2³ = 1256533 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

1256541 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12391 + ... + 12491.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2^1256541 is an apocalyptic number.

1256541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1256541 is a deficient number, since it is larger than the sum of its proper divisors (799779).

1256541 is a wasteful number, since it uses less digits than its factorization.

1256541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157.

The product of its digits is 1200, while the sum is 24.

The square root of 1256541 is about 1120.9553960796. The cubic root of 1256541 is about 107.9093031421.

It can be divided in two parts, 125 and 6541, that added together give a palindrome (6666).

The spelling of 1256541 in words is "one million, two hundred fifty-six thousand, five hundred forty-one".