1029009201 has 48 divisors (see below), whose sum is σ = 1672913088. Its totient is φ = 555955200.

The previous prime is 1029009199. The next prime is 1029009217.

1029009201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1029009201 - 2¹ = 1029009199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1029009251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199981 + ... + 205061.

It is an arithmetic number, because the mean of its divisors is an integer number (34852356).

Almost surely, 2^1029009201 is an apocalyptic number.

1029009201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1029009201 is a deficient number, since it is larger than the sum of its proper divisors (643903887).

1029009201 is a wasteful number, since it uses less digits than its factorization.

1029009201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1029009201 is about 32078.1732802851. The cubic root of 1029009201 is about 1009.5777083079.

It can be divided in two parts, 102900 and 9201, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 1029009201 in words is "one billion, twenty-nine million, nine thousand, two hundred one".