2505813000 has 64 divisors (see below), whose sum is σ = 7818145920. Its totient is φ = 668216000.

The previous prime is 2505812999. The next prime is 2505813019. The reversal of 2505813000 is 3185052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414636 + ... + 420635.

It is an arithmetic number, because the mean of its divisors is an integer number (122158530).

Almost surely, 2^2505813000 is an apocalyptic number.

2505813000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505813000 is an abundant number, since it is smaller than the sum of its proper divisors (5312332920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2505813000 is a wasteful number, since it uses less digits than its factorization.

2505813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835295 (or 835281 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2505813000 is about 50058.0962482594. The cubic root of 2505813000 is about 1358.2599213423.

Adding to 2505813000 its reverse (3185052), we get a palindrome (2508998052).

The spelling of 2505813000 in words is "two billion, five hundred five million, eight hundred thirteen thousand".