6129709430625 has 135 divisors (see below), whose sum is σ = 12165298192047. Its totient is φ = 2970990000000.

The previous prime is 6129709430597. The next prime is 6129709430659. The reversal of 6129709430625 is 5260349079216.

The square root of 6129709430625 is 2475825.

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

6129709430625 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 7 + 0 + 9 + 4 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4511847540321 + 1617861890304 = 2124111^2 + 1271952^2 .

It is not a de Polignac number, because 6129709430625 - 2⁹ = 6129709430113 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2042554125 + ... + 2042557125.

Almost surely, 2^{6129709430625} is an apocalyptic number.

6129709430625 is the 2475825-th square number.

6129709430625 is the 1237913-rd centered octagonal number.

It is an amenable number.

6129709430625 is a deficient number, since it is larger than the sum of its proper divisors (6035588761422).

6129709430625 is an frugal number, since it uses more digits than its factorization.

6129709430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6129709430625 in words is "six trillion, one hundred twenty-nine billion, seven hundred nine million, four hundred thirty thousand, six hundred twenty-five".