1005606660151 has 16 divisors (see below), whose sum is σ = 1063439612928. Its totient is φ = 949364222400.

The previous prime is 1005606660101. The next prime is 1005606660181. The reversal of 1005606660151 is 1510666065001.

It is a cyclic number.

It is not a de Polignac number, because 1005606660151 - 2¹⁷ = 1005606529079 is a prime.

It is a super-2 number, since 2×1005606660151² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005606660151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005606660101) 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, 33034600 + ... + 33065026.

It is an arithmetic number, because the mean of its divisors is an integer number (66464975808).

Almost surely, 2^{1005606660151} is an apocalyptic number.

1005606660151 is a deficient number, since it is larger than the sum of its proper divisors (57832952777).

1005606660151 is a wasteful number, since it uses less digits than its factorization.

1005606660151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56502.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 1005606660151 in words is "one trillion, five billion, six hundred six million, six hundred sixty thousand, one hundred fifty-one".