2505400101 has 6 divisors (see below), whose sum is σ = 3618911270. Its totient is φ = 1670266728.

The previous prime is 2505400087. The next prime is 2505400123. The reversal of 2505400101 is 1010045052.

2505400101 is a `hidden beast` number, since 25 + 0 + 540 + 0 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2422116225 + 83283876 = 49215^2 + 9126^2 .

It is not a de Polignac number, because 2505400101 - 2²² = 2501205797 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 (2505400141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139188886 + ... + 139188903.

Almost surely, 2^2505400101 is an apocalyptic number.

It is an amenable number.

2505400101 is a deficient number, since it is larger than the sum of its proper divisors (1113511169).

2505400101 is a wasteful number, since it uses less digits than its factorization.

2505400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278377795 (or 278377792 counting only the distinct ones).

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

The square root of 2505400101 is about 50053.9718803613. The cubic root of 2505400101 is about 1358.1853141563.

Adding to 2505400101 its reverse (1010045052), we get a palindrome (3515445153).

The spelling of 2505400101 in words is "two billion, five hundred five million, four hundred thousand, one hundred one".