1005605059031 has 2 divisors, whose sum is σ = 1005605059032. Its totient is φ = 1005605059030.

The previous prime is 1005605059021. The next prime is 1005605059079. The reversal of 1005605059031 is 1309505065001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005605059031 is a prime.

It is a super-2 number, since 2×1005605059031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005605058982 and 1005605059000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005605059021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502802529515 + 502802529516.

It is an arithmetic number, because the mean of its divisors is an integer number (502802529516).

Almost surely, 2^{1005605059031} is an apocalyptic number.

1005605059031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005605059031 is an equidigital number, since it uses as much as digits as its factorization.

1005605059031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20250, while the sum is 35.

The spelling of 1005605059031 in words is "one trillion, five billion, six hundred five million, fifty-nine thousand, thirty-one".