2505575752 has 64 divisors (see below), whose sum is σ = 5003856000. Its totient is φ = 1172888064.

The previous prime is 2505575749. The next prime is 2505575773. The reversal of 2505575752 is 2575755052.

It is a junction number, because it is equal to n+sod(n) for n = 2505575699 and 2505575708.

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, 9314274 + ... + 9314542.

It is an arithmetic number, because the mean of its divisors is an integer number (78185250).

Almost surely, 2^2505575752 is an apocalyptic number.

It is an amenable number.

2505575752 is a deficient number, since it is larger than the sum of its proper divisors (2498280248).

2505575752 is a wasteful number, since it uses less digits than its factorization.

2505575752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 612500, while the sum is 43.

The square root of 2505575752 is about 50055.7264656103. The cubic root of 2505575752 is about 1358.2170537353.

The spelling of 2505575752 in words is "two billion, five hundred five million, five hundred seventy-five thousand, seven hundred fifty-two".