1005505601059 has 2 divisors, whose sum is σ = 1005505601060. Its totient is φ = 1005505601058.

The previous prime is 1005505601053. The next prime is 1005505601063. The reversal of 1005505601059 is 9501065055001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005505601059 - 2²⁵ = 1005472046627 is a prime.

It is a super-2 number, since 2×1005505601059² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005505601053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502752800529 + 502752800530.

It is an arithmetic number, because the mean of its divisors is an integer number (502752800530).

Almost surely, 2^{1005505601059} is an apocalyptic number.

1005505601059 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005505601059 is an equidigital number, since it uses as much as digits as its factorization.

1005505601059 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33750, while the sum is 37.

The spelling of 1005505601059 in words is "one trillion, five billion, five hundred five million, six hundred one thousand, fifty-nine".