2505103535 has 48 divisors (see below), whose sum is σ = 3500679168. Its totient is φ = 1716031680.

The previous prime is 2505103529. The next prime is 2505103543. The reversal of 2505103535 is 5353015052.

2505103535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505103535 - 2⁴ = 2505103519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2505103498 and 2505103507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930962 + ... + 933648.

It is an arithmetic number, because the mean of its divisors is an integer number (72930816).

Almost surely, 2^2505103535 is an apocalyptic number.

2505103535 is a deficient number, since it is larger than the sum of its proper divisors (995575633).

2505103535 is a wasteful number, since it uses less digits than its factorization.

2505103535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The square root of 2505103535 is about 50051.0093304820. The cubic root of 2505103535 is about 1358.1317222530.

Adding to 2505103535 its reverse (5353015052), we get a palindrome (7858118587).

The spelling of 2505103535 in words is "two billion, five hundred five million, one hundred three thousand, five hundred thirty-five".