4029152925625 has 45 divisors (see below), whose sum is σ = 5349550151451. Its totient is φ = 3033072816000.

The previous prime is 4029152925613. The next prime is 4029152925631. The reversal of 4029152925625 is 5265292519204.

The square root of 4029152925625 is 2007275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1967654258361 + 2061498667264 = 1402731^2 + 1435792^2 .

It is not a de Polignac number, because 4029152925625 - 2²⁹ = 4028616054713 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 853089514 + ... + 853094236.

Almost surely, 2^{4029152925625} is an apocalyptic number.

4029152925625 is the 2007275-th square number.

4029152925625 is the 1003638-th centered octagonal number.

It is an amenable number.

4029152925625 is a deficient number, since it is larger than the sum of its proper divisors (1320397225826).

4029152925625 is an frugal number, since it uses more digits than its factorization.

4029152925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 4029152925625 in words is "four trillion, twenty-nine billion, one hundred fifty-two million, nine hundred twenty-five thousand, six hundred twenty-five".