2563507993 has 2 divisors, whose sum is σ = 2563507994. Its totient is φ = 2563507992.

The previous prime is 2563507951. The next prime is 2563508021. The reversal of 2563507993 is 3997053652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2245527769 + 317980224 = 47387^2 + 17832^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2563507993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2563505993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281753996 + 1281753997.

It is an arithmetic number, because the mean of its divisors is an integer number (1281753997).

Almost surely, 2^2563507993 is an apocalyptic number.

It is an amenable number.

2563507993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563507993 is an equidigital number, since it uses as much as digits as its factorization.

2563507993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1530900, while the sum is 49.

The square root of 2563507993 is about 50631.0970945722. The cubic root of 2563507993 is about 1368.6053246083.

The spelling of 2563507993 in words is "two billion, five hundred sixty-three million, five hundred seven thousand, nine hundred ninety-three".