1005157160181 has 6 divisors (see below), whose sum is σ = 1451893675830. Its totient is φ = 670104773448.

The previous prime is 1005157160131. The next prime is 1005157160251. The reversal of 1005157160181 is 1810617515001.

1005157160181 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 571 + 6 + 0 + 1 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 969496236900 + 35660923281 = 984630^2 + 188841^2 .

It is not a de Polignac number, because 1005157160181 - 2¹³ = 1005157151989 is a prime.

It is a super-2 number, since 2×1005157160181² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005157160131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55842064446 + ... + 55842064463.

It is an arithmetic number, because the mean of its divisors is an integer number (241982279305).

Almost surely, 2^{1005157160181} is an apocalyptic number.

It is an amenable number.

1005157160181 is a deficient number, since it is larger than the sum of its proper divisors (446736515649).

1005157160181 is a wasteful number, since it uses less digits than its factorization.

1005157160181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111684128915 (or 111684128912 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 36.

The spelling of 1005157160181 in words is "one trillion, five billion, one hundred fifty-seven million, one hundred sixty thousand, one hundred eighty-one".