10180204609 has 9 divisors (see below), whose sum is σ = 10259617473. Its totient is φ = 10101404052.

The previous prime is 10180204499. The next prime is 10180204613. The reversal of 10180204609 is 90640208101.

It is a happy number.

The square root of 10180204609 is 100897.

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

It is not a de Polignac number, because 10180204609 - 2⁷ = 10180204481 is a prime.

It is a super-2 number, since 2×10180204609² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10180208609) 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, 16445902 + ... + 16446520.

It is an arithmetic number, because the mean of its divisors is an integer number (1139957497).

Almost surely, 2^10180204609 is an apocalyptic number.

10180204609 is the 100897-th square number.

10180204609 is the 50449-th centered octagonal number.

It is an amenable number.

10180204609 is a deficient number, since it is larger than the sum of its proper divisors (79412864).

10180204609 is an frugal number, since it uses more digits than its factorization.

10180204609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 10180204609 in words is "ten billion, one hundred eighty million, two hundred four thousand, six hundred nine".