256610125489 has 9 divisors (see below), whose sum is σ = 263752242411. Its totient is φ = 249656480280.

The previous prime is 256610125483. The next prime is 256610125549. The reversal of 256610125489 is 984521016652.

It is a happy number.

The square root of 256610125489 is 506567.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 229618264225 + 26991861264 = 479185^2 + 164292^2 .

It is not a de Polignac number, because 256610125489 - 2⁷ = 256610125361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256610125483) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18736134 + ... + 18749824.

Almost surely, 2^256610125489 is an apocalyptic number.

256610125489 is the 506567-th square number.

256610125489 is the 253284-th centered octagonal number.

It is an amenable number.

256610125489 is a deficient number, since it is larger than the sum of its proper divisors (7142116922).

256610125489 is an frugal number, since it uses more digits than its factorization.

256610125489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27456 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 256610125489 by its sum of digits (49), we get a square (12573896148961 = 3545969²).

The spelling of 256610125489 in words is "two hundred fifty-six billion, six hundred ten million, one hundred twenty-five thousand, four hundred eighty-nine".