2038107430129 has 9 divisors (see below), whose sum is σ = 2073322803787. Its totient is φ = 2003480434264.

The previous prime is 2038107430123. The next prime is 2038107430141. The reversal of 2038107430129 is 9210347018302.

The square root of 2038107430129 is 1427623.

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., 477736704225 + 1560370725904 = 691185^2 + 1249148^2 .

It is not a de Polignac number, because 2038107430129 - 2¹¹ = 2038107428081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2038107430091 and 2038107430100.

It is not an unprimeable number, because it can be changed into a prime (2038107430123) 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, 84217659 + ... + 84241855.

Almost surely, 2^{2038107430129} is an apocalyptic number.

2038107430129 is the 1427623-rd square number.

2038107430129 is the 713812-nd centered octagonal number.

It is an amenable number.

2038107430129 is a deficient number, since it is larger than the sum of its proper divisors (35215373658).

2038107430129 is an frugal number, since it uses more digits than its factorization.

2038107430129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48512 (or 24256 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 2038107430129 in words is "two trillion, thirty-eight billion, one hundred seven million, four hundred thirty thousand, one hundred twenty-nine".