256513001 has 2 divisors, whose sum is σ = 256513002. Its totient is φ = 256513000.

The previous prime is 256512973. The next prime is 256513007. The reversal of 256513001 is 100315652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170041600 + 86471401 = 13040^2 + 9299^2 .

It is a cyclic number.

It is not a de Polignac number, because 256513001 - 2¹⁰ = 256511977 is a prime.

It is not a weakly prime, because it can be changed into another prime (256513007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128256500 + 128256501.

It is an arithmetic number, because the mean of its divisors is an integer number (128256501).

Almost surely, 2^256513001 is an apocalyptic number.

It is an amenable number.

256513001 is a deficient number, since it is larger than the sum of its proper divisors (1).

256513001 is an equidigital number, since it uses as much as digits as its factorization.

256513001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 256513001 is about 16016.0232579751. The cubic root of 256513001 is about 635.3842723384.

Adding to 256513001 its reverse (100315652), we get a palindrome (356828653).

The spelling of 256513001 in words is "two hundred fifty-six million, five hundred thirteen thousand, one".