2577552825 has 48 divisors (see below), whose sum is σ = 4530513600. Its totient is φ = 1289376000.

The previous prime is 2577552823. The next prime is 2577552871. The reversal of 2577552825 is 5282557752.

2577552825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2577552825 - 2¹ = 2577552823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2577552823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134971 + ... + 152879.

It is an arithmetic number, because the mean of its divisors is an integer number (94385700).

Almost surely, 2^2577552825 is an apocalyptic number.

2577552825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2577552825 is a deficient number, since it is larger than the sum of its proper divisors (1952960775).

2577552825 is a wasteful number, since it uses less digits than its factorization.

2577552825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18042 (or 18037 counting only the distinct ones).

The product of its digits is 1960000, while the sum is 48.

The square root of 2577552825 is about 50769.6053264155. The cubic root of 2577552825 is about 1371.1001915989.

The spelling of 2577552825 in words is "two billion, five hundred seventy-seven million, five hundred fifty-two thousand, eight hundred twenty-five".