1256584950625 has 15 divisors (see below), whose sum is σ = 1570263574341. Its totient is φ = 1005245541000.

The previous prime is 1256584950623. The next prime is 1256584950641. The reversal of 1256584950625 is 5260594856521.

The square root of 1256584950625 is 1120975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 98516260129 + 1158068690496 = 313873^2 + 1076136^2 .

It is not a de Polignac number, because 1256584950625 - 2¹ = 1256584950623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1256584950625.

It is not an unprimeable number, because it can be changed into a prime (1256584950623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28001956 + ... + 28046794.

Almost surely, 2^{1256584950625} is an apocalyptic number.

1256584950625 is the 1120975-th square number.

1256584950625 is the 560488-th centered octagonal number.

It is an amenable number.

1256584950625 is a deficient number, since it is larger than the sum of its proper divisors (313678623716).

1256584950625 is an frugal number, since it uses more digits than its factorization.

1256584950625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89698 (or 44844 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 58.

The spelling of 1256584950625 in words is "one trillion, two hundred fifty-six billion, five hundred eighty-four million, nine hundred fifty thousand, six hundred twenty-five".