2506275567 has 16 divisors (see below), whose sum is σ = 3731856480. Its totient is φ = 1662365376.

The previous prime is 2506275559. The next prime is 2506275581. The reversal of 2506275567 is 7655726052.

2506275567 is a `hidden beast` number, since 25 + 0 + 62 + 7 + 5 + 567 = 666.

It is not a de Polignac number, because 2506275567 - 2³ = 2506275559 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506275367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230278 + ... + 240915.

It is an arithmetic number, because the mean of its divisors is an integer number (233241030).

Almost surely, 2^2506275567 is an apocalyptic number.

2506275567 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2506275567 is a deficient number, since it is larger than the sum of its proper divisors (1225580913).

2506275567 is a wasteful number, since it uses less digits than its factorization.

2506275567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471399 (or 471393 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 2506275567 is about 50062.7163366112. The cubic root of 2506275567 is about 1358.3434933621.

The spelling of 2506275567 in words is "two billion, five hundred six million, two hundred seventy-five thousand, five hundred sixty-seven".