2505102063 has 64 divisors (see below), whose sum is σ = 3773952000. Its totient is φ = 1470686976.

The previous prime is 2505102053. The next prime is 2505102071. The reversal of 2505102063 is 3602015052.

It is not a de Polignac number, because 2505102063 - 2⁶ = 2505101999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505102053) 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, 10751395 + ... + 10751627.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^2505102063 is an apocalyptic number.

2505102063 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2505102063 is a deficient number, since it is larger than the sum of its proper divisors (1268849937).

2505102063 is a wasteful number, since it uses less digits than its factorization.

2505102063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2505102063 is about 50050.9946254817. The cubic root of 2505102063 is about 1358.1314562400.

The spelling of 2505102063 in words is "two billion, five hundred five million, one hundred two thousand, sixty-three".