1161540127 has 16 divisors (see below), whose sum is σ = 1300035744. Its totient is φ = 1028608000.

The previous prime is 1161540071. The next prime is 1161540143. The reversal of 1161540127 is 7210451611.

It is not a de Polignac number, because 1161540127 - 2¹⁵ = 1161507359 is a prime.

It is a super-2 number, since 2×1161540127² = 2698350933262352258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1161540095 and 1161540104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161540427) 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 15 ways as a sum of consecutive naturals, for example, 368703 + ... + 371839.

It is an arithmetic number, because the mean of its divisors is an integer number (81252234).

Almost surely, 2^1161540127 is an apocalyptic number.

1161540127 is a deficient number, since it is larger than the sum of its proper divisors (138495617).

1161540127 is a wasteful number, since it uses less digits than its factorization.

1161540127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1161540127 is about 34081.3750749585. The cubic root of 1161540127 is about 1051.1823799174.

Adding to 1161540127 its reverse (7210451611), we get a palindrome (8371991738).

The spelling of 1161540127 in words is "one billion, one hundred sixty-one million, five hundred forty thousand, one hundred twenty-seven".