2577205252 has 24 divisors (see below), whose sum is σ = 4650096024. Its totient is φ = 1248878592.

The previous prime is 2577205249. The next prime is 2577205259. The reversal of 2577205252 is 2525027752.

It can be written as a sum of positive squares in 4 ways, for example, as 2310340356 + 266864896 = 48066^2 + 16336^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (2577205259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4158 + ... + 71914.

It is an arithmetic number, because the mean of its divisors is an integer number (193754001).

Almost surely, 2^2577205252 is an apocalyptic number.

It is an amenable number.

2577205252 is a deficient number, since it is larger than the sum of its proper divisors (2072890772).

2577205252 is a wasteful number, since it uses less digits than its factorization.

2577205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68055 (or 68053 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The square root of 2577205252 is about 50766.1821688415. The cubic root of 2577205252 is about 1371.0385596477.

The spelling of 2577205252 in words is "two billion, five hundred seventy-seven million, two hundred five thousand, two hundred fifty-two".