4138257825 has 72 divisors (see below), whose sum is σ = 8005749752. Its totient is φ = 2031298560.

The previous prime is 4138257803. The next prime is 4138257847. The reversal of 4138257825 is 5287528314.

4138257825 is a `hidden beast` number, since 41 + 38 + 2 + 578 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4138257803) and next prime (4138257847).

It can be written as a sum of positive squares in 12 ways, for example, as 2461846689 + 1676411136 = 49617^2 + 40944^2 .

It is not a de Polignac number, because 4138257825 - 2¹⁴ = 4138241441 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1089129 + ... + 1092921.

Almost surely, 2^4138257825 is an apocalyptic number.

4138257825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4138257825 is a deficient number, since it is larger than the sum of its proper divisors (3867491927).

4138257825 is a wasteful number, since it uses less digits than its factorization.

4138257825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4187 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 4138257825 is about 64329.2921226404. The cubic root of 4138257825 is about 1605.4835064675.

The spelling of 4138257825 in words is "four billion, one hundred thirty-eight million, two hundred fifty-seven thousand, eight hundred twenty-five".