51124973 has 2 divisors, whose sum is σ = 51124974. Its totient is φ = 51124972.

The previous prime is 51124951. The next prime is 51124981. The reversal of 51124973 is 37942115.

51124973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31393609 + 19731364 = 5603^2 + 4442^2 .

It is a cyclic number.

It is not a de Polignac number, because 51124973 - 2¹⁰ = 51123949 is a prime.

It is a super-2 number, since 2×51124973² = 5227525728501458, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51124903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25562486 + 25562487.

It is an arithmetic number, because the mean of its divisors is an integer number (25562487).

Almost surely, 2^51124973 is an apocalyptic number.

It is an amenable number.

51124973 is a deficient number, since it is larger than the sum of its proper divisors (1).

51124973 is an equidigital number, since it uses as much as digits as its factorization.

51124973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 51124973 is about 7150.1729349716. The cubic root of 51124973 is about 371.1456406856.

It can be divided in two parts, 5112497 and 3, that multiplied together give a triangular number (15337491 = T₅₅₃₈).

The spelling of 51124973 in words is "fifty-one million, one hundred twenty-four thousand, nine hundred seventy-three".