1016441329 has 8 divisors (see below), whose sum is σ = 1051920360. Its totient is φ = 980990976.

The previous prime is 1016441281. The next prime is 1016441333. The reversal of 1016441329 is 9231446101.

It can be written as a sum of positive squares in 4 ways, for example, as 486290704 + 530150625 = 22052^2 + 23025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(1016441329) divides (1016441329-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 1016441329 - 2⁷ = 1016441201 is a prime.

It is a pancake number, because a pancake can be divided into 1016441329 parts by 45087 straight cuts.

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 1016441329.

It is not an unprimeable number, because it can be changed into a prime (1016441029) 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 7 ways as a sum of consecutive naturals, for example, 85387 + ... + 96559.

It is an arithmetic number, because the mean of its divisors is an integer number (131490045).

Almost surely, 2^1016441329 is an apocalyptic number.

It is an amenable number.

1016441329 is a deficient number, since it is larger than the sum of its proper divisors (35479031).

1016441329 is a wasteful number, since it uses less digits than its factorization.

1016441329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1016441329 is about 31881.6770104711. The cubic root of 1016441329 is about 1005.4506791174.

The spelling of 1016441329 in words is "one billion, sixteen million, four hundred forty-one thousand, three hundred twenty-nine".