1256584950641 has 2 divisors, whose sum is σ = 1256584950642. Its totient is φ = 1256584950640.

The previous prime is 1256584950623. The next prime is 1256584950659. The reversal of 1256584950641 is 1460594856521.

It is a balanced prime because it is at equal distance from previous prime (1256584950623) and next prime (1256584950659).

It can be written as a sum of positive squares in only one way, i.e., 1256584950625 + 16 = 1120975^2 + 4^2 .

It is an emirp because it is prime and its reverse (1460594856521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1256584950641 - 2²² = 1256580756337 is a prime.

It is not a weakly prime, because it can be changed into another prime (1256584950041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628292475320 + 628292475321.

It is an arithmetic number, because the mean of its divisors is an integer number (628292475321).

Almost surely, 2^{1256584950641} is an apocalyptic number.

It is an amenable number.

1256584950641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1256584950641 is an equidigital number, since it uses as much as digits as its factorization.

1256584950641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368000, while the sum is 56.

The spelling of 1256584950641 in words is "one trillion, two hundred fifty-six billion, five hundred eighty-four million, nine hundred fifty thousand, six hundred forty-one".