5829149601 has 48 divisors (see below), whose sum is σ = 10148561280. Its totient is φ = 3180418560.

The previous prime is 5829149587. The next prime is 5829149603. The reversal of 5829149601 is 1069419285.

5829149601 is a `hidden beast` number, since 5 + 8 + 29 + 14 + 9 + 601 = 666.

It is not a de Polignac number, because 5829149601 - 2²⁷ = 5694931873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5829149603) 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 47 ways as a sum of consecutive naturals, for example, 36586 + ... + 114003.

It is an arithmetic number, because the mean of its divisors is an integer number (211428360).

Almost surely, 2^5829149601 is an apocalyptic number.

5829149601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5829149601 is a deficient number, since it is larger than the sum of its proper divisors (4319411679).

5829149601 is a wasteful number, since it uses less digits than its factorization.

5829149601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150646 (or 150643 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5829149601 is about 76348.8677126256. The cubic root of 5829149601 is about 1799.7067012855.

The spelling of 5829149601 in words is "five billion, eight hundred twenty-nine million, one hundred forty-nine thousand, six hundred one".