1009142289 has 9 divisors (see below), whose sum is σ = 1457787643. Its totient is φ = 672697992.

The previous prime is 1009142263. The next prime is 1009142327. The reversal of 1009142289 is 9822419001.

The square root of 1009142289 is 31767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134165889 + 874976400 = 11583^2 + 29580^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1009142289 - 2⁷ = 1009142161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009142209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90007 + ... + 100595.

Almost surely, 2^1009142289 is an apocalyptic number.

1009142289 is the 31767-th square number.

1009142289 is the 15884-th centered octagonal number.

It is an amenable number.

1009142289 is a deficient number, since it is larger than the sum of its proper divisors (448645354).

1009142289 is an frugal number, since it uses more digits than its factorization.

1009142289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21184 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 1009142289 is about 1003.0381897218.

Multiplying 1009142289 by its sum of digits (36), we get a square (36329122404 = 190602²).

The spelling of 1009142289 in words is "one billion, nine million, one hundred forty-two thousand, two hundred eighty-nine".