2563506407 has 16 divisors (see below), whose sum is σ = 3206172672. Its totient is φ = 1991217120.

The previous prime is 2563506401. The next prime is 2563506419. The reversal of 2563506407 is 7046053652.

It is a cyclic number.

It is not a de Polignac number, because 2563506407 - 2¹⁴ = 2563490023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563506401) 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 in 15 ways as a sum of consecutive naturals, for example, 28103 + ... + 76920.

It is an arithmetic number, because the mean of its divisors is an integer number (200385792).

Almost surely, 2^2563506407 is an apocalyptic number.

2563506407 is a deficient number, since it is larger than the sum of its proper divisors (642666265).

2563506407 is a wasteful number, since it uses less digits than its factorization.

2563506407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105358.

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 2563506407 is about 50631.0814322586. The cubic root of 2563506407 is about 1368.6050423637.

The spelling of 2563506407 in words is "two billion, five hundred sixty-three million, five hundred six thousand, four hundred seven".