256121652 has 48 divisors (see below), whose sum is σ = 635402880. Its totient is φ = 80116608.

The previous prime is 256121651. The next prime is 256121669.

256121652 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256121651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5874 + ... + 23382.

It is an arithmetic number, because the mean of its divisors is an integer number (13237560).

Almost surely, 2^256121652 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 256121652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317701440).

256121652 is an abundant number, since it is smaller than the sum of its proper divisors (379281228).

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

256121652 is a wasteful number, since it uses less digits than its factorization.

256121652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17592 (or 17590 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 256121652 is about 16003.8011734713. The cubic root of 256121652 is about 635.0609832518.

The spelling of 256121652 in words is "two hundred fifty-six million, one hundred twenty-one thousand, six hundred fifty-two".