2511252105105 has 64 divisors (see below), whose sum is σ = 4442317447680. Its totient is φ = 1204931751936.

The previous prime is 2511252105067. The next prime is 2511252105107. The reversal of 2511252105105 is 5015012521152.

It is not a de Polignac number, because 2511252105105 - 2¹⁴ = 2511252088721 is a prime.

It is a super-2 number, since 2×2511252105105² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2511252105107) 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 63 ways as a sum of consecutive naturals, for example, 8613051 + ... + 8899839.

It is an arithmetic number, because the mean of its divisors is an integer number (69411210120).

Almost surely, 2^{2511252105105} is an apocalyptic number.

It is an amenable number.

2511252105105 is a deficient number, since it is larger than the sum of its proper divisors (1931065342575).

2511252105105 is a wasteful number, since it uses less digits than its factorization.

2511252105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288330.

The product of its (nonzero) digits is 5000, while the sum is 30.

Adding to 2511252105105 its reverse (5015012521152), we get a palindrome (7526264626257).

The spelling of 2511252105105 in words is "two trillion, five hundred eleven billion, two hundred fifty-two million, one hundred five thousand, one hundred five".