2506506201 has 40 divisors (see below), whose sum is σ = 3947755680. Its totient is φ = 1580487552.

The previous prime is 2506506169. The next prime is 2506506203. The reversal of 2506506201 is 1026056052.

2506506201 is a `hidden beast` number, since 2 + 5 + 0 + 650 + 6 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 2506506201 - 2⁵ = 2506506169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2506506203) 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 39 ways as a sum of consecutive naturals, for example, 1502770 + ... + 1504436.

It is an arithmetic number, because the mean of its divisors is an integer number (98693892).

Almost surely, 2^2506506201 is an apocalyptic number.

It is an amenable number.

2506506201 is a deficient number, since it is larger than the sum of its proper divisors (1441249479).

2506506201 is a wasteful number, since it uses less digits than its factorization.

2506506201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2506506201 is about 50065.0197343415. The cubic root of 2506506201 is about 1358.3851581851.

The spelling of 2506506201 in words is "two billion, five hundred six million, five hundred six thousand, two hundred one".