2563648191 has 32 divisors (see below), whose sum is σ = 4147799040. Its totient is φ = 1555394400.

The previous prime is 2563648181. The next prime is 2563648201. The reversal of 2563648191 is 1918463652.

2563648191 is a `hidden beast` number, since 2 + 5 + 636 + 4 + 8 + 1 + 9 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2563648181) and next prime (2563648201).

It is not a de Polignac number, because 2563648191 - 2¹⁷ = 2563517119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563648121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26515 + ... + 76356.

It is an arithmetic number, because the mean of its divisors is an integer number (129618720).

Almost surely, 2^2563648191 is an apocalyptic number.

2563648191 is a deficient number, since it is larger than the sum of its proper divisors (1584150849).

2563648191 is a wasteful number, since it uses less digits than its factorization.

2563648191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102964 (or 102958 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2563648191 is about 50632.4815805032. The cubic root of 2563648191 is about 1368.6302737837.

The spelling of 2563648191 in words is "two billion, five hundred sixty-three million, six hundred forty-eight thousand, one hundred ninety-one".