7025007123729 has 45 divisors (see below), whose sum is σ = 12207766646361. Its totient is φ = 4014194367960.

The previous prime is 7025007123697. The next prime is 7025007123769. The reversal of 7025007123729 is 9273217005207.

The square root of 7025007123729 is 2650473.

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

7025007123729 is a `hidden beast` number, since 7 + 0 + 2 + 500 + 71 + 2 + 3 + 72 + 9 = 666.

7025007123729 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7025007123729 - 2⁵ = 7025007123697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7025007123769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 166958764 + ... + 167000834.

Almost surely, 2^{7025007123729} is an apocalyptic number.

7025007123729 is the 2650473-rd square number.

7025007123729 is the 1325237-th centered octagonal number.

It is an amenable number.

7025007123729 is a deficient number, since it is larger than the sum of its proper divisors (5182759522632).

7025007123729 is an frugal number, since it uses more digits than its factorization.

7025007123729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84168 (or 42081 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 7025007123729 in words is "seven trillion, twenty-five billion, seven million, one hundred twenty-three thousand, seven hundred twenty-nine".