10409482735129 has 9 divisors (see below), whose sum is σ = 10421282031069. Its totient is φ = 10397696794560.

The previous prime is 10409482735123. The next prime is 10409482735187. The reversal of 10409482735129 is 92153728490401.

The square root of 10409482735129 is 3226373.

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

10409482735129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2837894006025 + 7571588729104 = 1684605^2 + 2751652^2 .

It is not a de Polignac number, because 10409482735129 - 2²⁷ = 10409348517401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10409482735129.

It is not an unprimeable number, because it can be changed into a prime (10409482735123) 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, 4816973809 + ... + 4816975969.

Almost surely, 2^{10409482735129} is an apocalyptic number.

10409482735129 is the 3226373-rd square number.

10409482735129 is the 1613187-th centered octagonal number.

It is an amenable number.

10409482735129 is a deficient number, since it is larger than the sum of its proper divisors (11799295940).

10409482735129 is an frugal number, since it uses more digits than its factorization.

10409482735129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 10409482735129 in words is "ten trillion, four hundred nine billion, four hundred eighty-two million, seven hundred thirty-five thousand, one hundred twenty-nine".