1166513601 has 32 divisors (see below), whose sum is σ = 1755426816. Its totient is φ = 682632000.

The previous prime is 1166513587. The next prime is 1166513639. The reversal of 1166513601 is 1063156611.

It is not a de Polignac number, because 1166513601 - 2¹⁴ = 1166497217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1166513641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583135 + ... + 585131.

It is an arithmetic number, because the mean of its divisors is an integer number (54857088).

Almost surely, 2^1166513601 is an apocalyptic number.

1166513601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1166513601 is a deficient number, since it is larger than the sum of its proper divisors (588913215).

1166513601 is a wasteful number, since it uses less digits than its factorization.

1166513601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1166513601 is about 34154.2618277719. The cubic root of 1166513601 is about 1052.6805586533.

The spelling of 1166513601 in words is "one billion, one hundred sixty-six million, five hundred thirteen thousand, six hundred one".