256504100 has 36 divisors (see below), whose sum is σ = 567127764. Its totient is φ = 100663680.

The previous prime is 256504063. The next prime is 256504103. The reversal of 256504100 is 1405652.

256504100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4393216 + 252110884 = 2096^2 + 15878^2 .

It is not an unprimeable number, because it can be changed into a prime (256504103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18899 + ... + 29498.

It is an arithmetic number, because the mean of its divisors is an integer number (15753549).

Almost surely, 2^256504100 is an apocalyptic number.

256504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256504100 is an abundant number, since it is smaller than the sum of its proper divisors (310623664).

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

256504100 is a wasteful number, since it uses less digits than its factorization.

256504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48464 (or 48457 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 256504100 is about 16015.7453775964. The cubic root of 256504100 is about 635.3769229763.

Adding to 256504100 its reverse (1405652), we get a palindrome (257909752).

It can be divided in two parts, 256 and 504100, that multiplied together give a square (129049600 = 11360²).

The spelling of 256504100 in words is "two hundred fifty-six million, five hundred four thousand, one hundred".