1263626600513 has 2 divisors, whose sum is σ = 1263626600514. Its totient is φ = 1263626600512.

The previous prime is 1263626600503. The next prime is 1263626600521. The reversal of 1263626600513 is 3150066263621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1029518681104 + 234107919409 = 1014652^2 + 483847^2 .

It is an emirp because it is prime and its reverse (3150066263621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1263626600513 - 2¹⁶ = 1263626534977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1263626600503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 631813300256 + 631813300257.

It is an arithmetic number, because the mean of its divisors is an integer number (631813300257).

Almost surely, 2^{1263626600513} is an apocalyptic number.

It is an amenable number.

1263626600513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1263626600513 is an equidigital number, since it uses as much as digits as its factorization.

1263626600513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 1263626600513 in words is "one trillion, two hundred sixty-three billion, six hundred twenty-six million, six hundred thousand, five hundred thirteen".