2505102201 has 128 divisors (see below), whose sum is σ = 4744396800. Its totient is φ = 1272775680.

The previous prime is 2505102199. The next prime is 2505102203. The reversal of 2505102201 is 1022015052.

2505102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505102199) and next prime (2505102203).

It is not a de Polignac number, because 2505102201 - 2¹ = 2505102199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505102203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8054836 + ... + 8055146.

It is an arithmetic number, because the mean of its divisors is an integer number (37065600).

Almost surely, 2^2505102201 is an apocalyptic number.

2505102201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505102201 is a deficient number, since it is larger than the sum of its proper divisors (2239294599).

2505102201 is a wasteful number, since it uses less digits than its factorization.

2505102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2505102201 is about 50050.9960040757. The cubic root of 2505102201 is about 1358.1314811787.

Adding to 2505102201 its reverse (1022015052), we get a palindrome (3527117253).

The spelling of 2505102201 in words is "two billion, five hundred five million, one hundred two thousand, two hundred one".