2528743625 has 64 divisors (see below), whose sum is σ = 3601428480. Its totient is φ = 1761408000.

The previous prime is 2528743603. The next prime is 2528743631. The reversal of 2528743625 is 5263478252.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2528743625 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1514291 + ... + 1515959.

It is an arithmetic number, because the mean of its divisors is an integer number (56272320).

Almost surely, 2^2528743625 is an apocalyptic number.

2528743625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2528743625 is a deficient number, since it is larger than the sum of its proper divisors (1072684855).

2528743625 is a wasteful number, since it uses less digits than its factorization.

2528743625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1745 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The square root of 2528743625 is about 50286.6147697377. The cubic root of 2528743625 is about 1362.3904802129.

The spelling of 2528743625 in words is "two billion, five hundred twenty-eight million, seven hundred forty-three thousand, six hundred twenty-five".