1005610050601 has 12 divisors (see below), whose sum is σ = 1092350146572. Its totient is φ = 925327131456.

The previous prime is 1005610050583. The next prime is 1005610050619. The reversal of 1005610050601 is 1060500165001.

It is an interprime number because it is at equal distance from previous prime (1005610050583) and next prime (1005610050619).

It can be written as a sum of positive squares in 6 ways, for example, as 564549363225 + 441060687376 = 751365^2 + 664124^2 .

It is not a de Polignac number, because 1005610050601 - 2⁹ = 1005610050089 is a prime.

It is a super-2 number, since 2×1005610050601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005610050661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9331846 + ... + 9438991.

It is an arithmetic number, because the mean of its divisors is an integer number (91029178881).

Almost surely, 2^{1005610050601} is an apocalyptic number.

It is an amenable number.

1005610050601 is a deficient number, since it is larger than the sum of its proper divisors (86740095971).

1005610050601 is a wasteful number, since it uses less digits than its factorization.

1005610050601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771180 (or 18771167 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1005610050601 in words is "one trillion, five billion, six hundred ten million, fifty thousand, six hundred one".