1613003161 has 16 divisors (see below), whose sum is σ = 2012295168. Its totient is φ = 1256086800.

The previous prime is 1613003149. The next prime is 1613003167.

It is a happy number.

1613003161 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1613003161 - 2⁷ = 1613003033 is a prime.

It is a super-3 number, since 3×1613003161³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1613003167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134626 + ... + 146116.

It is an arithmetic number, because the mean of its divisors is an integer number (125768448).

Almost surely, 2^1613003161 is an apocalyptic number.

1613003161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1613003161 is a deficient number, since it is larger than the sum of its proper divisors (399292007).

1613003161 is a wasteful number, since it uses less digits than its factorization.

1613003161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1613003161 is about 40162.2106089792. The cubic root of 1613003161 is about 1172.7670066262.

It can be divided in two parts, 161300 and 3161, that added together give a palindrome (164461).

The spelling of 1613003161 in words is "one billion, six hundred thirteen million, three thousand, one hundred sixty-one".