2000038007529 has 81 divisors (see below), whose sum is σ = 3126971303703. Its totient is φ = 1231667265024.

The previous prime is 2000038007519. The next prime is 2000038007599. The reversal of 2000038007529 is 9257008300002.

It is a happy number.

The square root of 2000038007529 is 1414227.

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

2000038007529 is a `hidden beast` number, since 200 + 0 + 0 + 380 + 0 + 75 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1986196955625 + 13841051904 = 1409325^2 + 117648^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2000038007529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000038007493 and 2000038007502.

It is not an unprimeable number, because it can be changed into a prime (2000038007509) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3466270089 + ... + 3466270665.

Almost surely, 2^{2000038007529} is an apocalyptic number.

2000038007529 is the 1414227-th square number.

2000038007529 is the 707114-th centered octagonal number.

It is an amenable number.

2000038007529 is a deficient number, since it is larger than the sum of its proper divisors (1126933296174).

2000038007529 is an frugal number, since it uses more digits than its factorization.

2000038007529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 2000038007529 by its sum of digits (36), we get a square (72001368271044 = 8485362²).

The spelling of 2000038007529 in words is "two trillion, thirty-eight million, seven thousand, five hundred twenty-nine".