6205713730129 has 9 divisors (see below), whose sum is σ = 6299888188251. Its totient is φ = 6112926722760.

The previous prime is 6205713730081. The next prime is 6205713730157. The reversal of 6205713730129 is 9210373175026.

The square root of 6205713730129 is 2491127.

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., 1908467649729 + 4297246080400 = 1381473^2 + 2072980^2 .

It is not a de Polignac number, because 6205713730129 - 2¹³ = 6205713721937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6205713700129) 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, 166886919 + ... + 166924099.

Almost surely, 2^{6205713730129} is an apocalyptic number.

6205713730129 is the 2491127-th square number.

6205713730129 is the 1245564-th centered octagonal number.

It is an amenable number.

6205713730129 is a deficient number, since it is larger than the sum of its proper divisors (94174458122).

6205713730129 is an frugal number, since it uses more digits than its factorization.

6205713730129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74496 (or 37248 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 6205713730129 in words is "six trillion, two hundred five billion, seven hundred thirteen million, seven hundred thirty thousand, one hundred twenty-nine".