1017824730129 has 15 divisors (see below), whose sum is σ = 1520467790347. Its totient is φ = 678543766848.

The previous prime is 1017824730107. The next prime is 1017824730137. The reversal of 1017824730129 is 9210374287101.

The square root of 1017824730129 is 1008873.

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

1017824730129 is a `hidden beast` number, since 1 + 0 + 178 + 2 + 473 + 0 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 535977731025 + 481846999104 = 732105^2 + 694152^2 .

It is not a de Polignac number, because 1017824730129 - 2¹³ = 1017824721937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017824730829) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9023809 + ... + 9135905.

Almost surely, 2^{1017824730129} is an apocalyptic number.

1017824730129 is the 1008873-rd square number.

1017824730129 is the 504437-th centered octagonal number.

It is an amenable number.

1017824730129 is a deficient number, since it is larger than the sum of its proper divisors (502643060218).

1017824730129 is an frugal number, since it uses more digits than its factorization.

1017824730129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224206 (or 112100 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1017824730129 in words is "one trillion, seventeen billion, eight hundred twenty-four million, seven hundred thirty thousand, one hundred twenty-nine".