3629958510025 has 27 divisors (see below), whose sum is σ = 4516378946919. Its totient is φ = 2894173848720.

The previous prime is 3629958509953. The next prime is 3629958510047. The reversal of 3629958510025 is 5200158599263.

The square root of 3629958510025 is 1905245.

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

3629958510025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1306785063609 + 2323173446416 = 1143147^2 + 1524196^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3629958510025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4410641764 + ... + 4410642586.

Almost surely, 2^{3629958510025} is an apocalyptic number.

3629958510025 is the 1905245-th square number.

3629958510025 is the 952623-rd centered octagonal number.

It is an amenable number.

3629958510025 is a deficient number, since it is larger than the sum of its proper divisors (886420436894).

3629958510025 is an frugal number, since it uses more digits than its factorization.

3629958510025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 3629958510025 in words is "three trillion, six hundred twenty-nine billion, nine hundred fifty-eight million, five hundred ten thousand, twenty-five".