1005655016217 has 16 divisors (see below), whose sum is σ = 1345636815552. Its totient is φ = 668058431040.

The previous prime is 1005655016203. The next prime is 1005655016273. The reversal of 1005655016217 is 7126105565001.

It is a happy number.

1005655016217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005655016217 - 2⁶ = 1005655016153 is a prime.

It is a super-2 number, since 2×1005655016217² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005655016287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721663 + ... + 1591259.

It is an arithmetic number, because the mean of its divisors is an integer number (84102300972).

Almost surely, 2^{1005655016217} is an apocalyptic number.

It is an amenable number.

1005655016217 is a deficient number, since it is larger than the sum of its proper divisors (339981799335).

1005655016217 is an equidigital number, since it uses as much as digits as its factorization.

1005655016217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870968.

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 1005655016217 in words is "one trillion, five billion, six hundred fifty-five million, sixteen thousand, two hundred seventeen".