256516007225 has 12 divisors (see below), whose sum is σ = 318105212880. Its totient is φ = 205196442000.

The previous prime is 256516007201. The next prime is 256516007243. The reversal of 256516007225 is 522700615652.

It is not a de Polignac number, because 256516007225 - 2⁶ = 256516007161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84251 + ... + 721200.

It is an arithmetic number, because the mean of its divisors is an integer number (26508767740).

Almost surely, 2^256516007225 is an apocalyptic number.

256516007225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256516007225 is a deficient number, since it is larger than the sum of its proper divisors (61589205655).

256516007225 is a wasteful number, since it uses less digits than its factorization.

256516007225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818200 (or 818195 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 256516007225 in words is "two hundred fifty-six billion, five hundred sixteen million, seven thousand, two hundred twenty-five".