256083984001 has 2 divisors, whose sum is σ = 256083984002. Its totient is φ = 256083984000.

The previous prime is 256083983993. The next prime is 256083984007. The reversal of 256083984001 is 100489380652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251738010225 + 4345973776 = 501735^2 + 65924^2 .

It is a cyclic number.

It is not a de Polignac number, because 256083984001 - 2³ = 256083983993 is a prime.

It is not a weakly prime, because it can be changed into another prime (256083984007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128041992000 + 128041992001.

It is an arithmetic number, because the mean of its divisors is an integer number (128041992001).

Almost surely, 2^256083984001 is an apocalyptic number.

It is an amenable number.

256083984001 is a deficient number, since it is larger than the sum of its proper divisors (1).

256083984001 is an equidigital number, since it uses as much as digits as its factorization.

256083984001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 256083984001 in words is "two hundred fifty-six billion, eighty-three million, nine hundred eighty-four thousand, one".