1005731258137 has 2 divisors, whose sum is σ = 1005731258138. Its totient is φ = 1005731258136.

The previous prime is 1005731258123. The next prime is 1005731258209. The reversal of 1005731258137 is 7318521375001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 570937404816 + 434793853321 = 755604^2 + 659389^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005731258137 - 2⁷ = 1005731258009 is a prime.

It is a super-2 number, since 2×1005731258137² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005731258093 and 1005731258102.

It is not a weakly prime, because it can be changed into another prime (1005731258107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502865629068 + 502865629069.

It is an arithmetic number, because the mean of its divisors is an integer number (502865629069).

Almost surely, 2^{1005731258137} is an apocalyptic number.

It is an amenable number.

1005731258137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005731258137 is an equidigital number, since it uses as much as digits as its factorization.

1005731258137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 1005731258137 in words is "one trillion, five billion, seven hundred thirty-one million, two hundred fifty-eight thousand, one hundred thirty-seven".