256516541002049 has 8 divisors (see below), whose sum is σ = 257717411056128. Its totient is φ = 255316292362800.

The previous prime is 256516541002019. The next prime is 256516541002103. The reversal of 256516541002049 is 940200145615652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256516541002049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 256516541001988 and 256516541002006.

It is not an unprimeable number, because it can be changed into a prime (256516541002019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154526177 + ... + 156177374.

It is an arithmetic number, because the mean of its divisors is an integer number (32214676382016).

Almost surely, 2^{256516541002049} is an apocalyptic number.

It is an amenable number.

256516541002049 is a deficient number, since it is larger than the sum of its proper divisors (1200870054079).

256516541002049 is a wasteful number, since it uses less digits than its factorization.

256516541002049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310707415.

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 256516541002049 in words is "two hundred fifty-six trillion, five hundred sixteen billion, five hundred forty-one million, two thousand, forty-nine".