2782583325 has 18 divisors (see below), whose sum is σ = 4983916314. Its totient is φ = 1484044320.

The previous prime is 2782583291. The next prime is 2782583327. The reversal of 2782583325 is 5233852872.

2782583325 is a `hidden beast` number, since 2 + 78 + 258 + 3 + 325 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 536107716 + 2246475609 = 23154^2 + 47397^2 .

It is not a de Polignac number, because 2782583325 - 2²⁸ = 2514147869 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782583327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6183294 + ... + 6183743.

Almost surely, 2^2782583325 is an apocalyptic number.

2782583325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2782583325 is a deficient number, since it is larger than the sum of its proper divisors (2201332989).

2782583325 is a wasteful number, since it uses less digits than its factorization.

2782583325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12367053 (or 12367045 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2782583325 is about 52750.1973929956. The cubic root of 2782583325 is about 1406.5312729223.

The spelling of 2782583325 in words is "two billion, seven hundred eighty-two million, five hundred eighty-three thousand, three hundred twenty-five".