2585252500 has 30 divisors (see below), whose sum is σ = 5653435634. Its totient is φ = 1034100000.

The previous prime is 2585252477. The next prime is 2585252519. The reversal of 2585252500 is 52525852.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 533887236 + 2051365264 = 23106^2 + 45292^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 514551 + ... + 519550.

Almost surely, 2^2585252500 is an apocalyptic number.

2585252500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585252500 is an abundant number, since it is smaller than the sum of its proper divisors (3068183134).

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

2585252500 is a wasteful number, since it uses less digits than its factorization.

2585252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034125 (or 1034108 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The square root of 2585252500 is about 50845.3783543795. The cubic root of 2585252500 is about 1372.4640862177.

The spelling of 2585252500 in words is "two billion, five hundred eighty-five million, two hundred fifty-two thousand, five hundred".