5138005273 has 2 divisors, whose sum is σ = 5138005274. Its totient is φ = 5138005272.

The previous prime is 5138005261. The next prime is 5138005307. The reversal of 5138005273 is 3725008315.

It is an a-pointer prime, because the next prime (5138005307) can be obtained adding 5138005273 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4938856729 + 199148544 = 70277^2 + 14112^2 .

It is a cyclic number.

It is not a de Polignac number, because 5138005273 - 2¹⁷ = 5137874201 is a prime.

It is not a weakly prime, because it can be changed into another prime (5138005253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2569002636 + 2569002637.

It is an arithmetic number, because the mean of its divisors is an integer number (2569002637).

Almost surely, 2^5138005273 is an apocalyptic number.

It is an amenable number.

5138005273 is a deficient number, since it is larger than the sum of its proper divisors (1).

5138005273 is an equidigital number, since it uses as much as digits as its factorization.

5138005273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5138005273 is about 71679.8805314295. The cubic root of 5138005273 is about 1725.5657625280.

The spelling of 5138005273 in words is "five billion, one hundred thirty-eight million, five thousand, two hundred seventy-three".