2563516667 has 8 divisors (see below), whose sum is σ = 2614346496. Its totient is φ = 2512778112.

The previous prime is 2563516603. The next prime is 2563516687. The reversal of 2563516667 is 7666153652.

2563516667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2563516667 - 2⁶ = 2563516603 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2563516687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35363 + ... + 79859.

It is an arithmetic number, because the mean of its divisors is an integer number (326793312).

Almost surely, 2^2563516667 is an apocalyptic number.

2563516667 is a deficient number, since it is larger than the sum of its proper divisors (50829829).

2563516667 is a wasteful number, since it uses less digits than its factorization.

2563516667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45637.

The product of its digits is 1360800, while the sum is 47.

The square root of 2563516667 is about 50631.1827533191. The cubic root of 2563516667 is about 1368.6068682312.

The spelling of 2563516667 in words is "two billion, five hundred sixty-three million, five hundred sixteen thousand, six hundred sixty-seven".