2159925625 has 75 divisors (see below), whose sum is σ = 3213934493. Its totient is φ = 1450020000.

The previous prime is 2159925623. The next prime is 2159925629. The reversal of 2159925625 is 5265299512.

The square root of 2159925625 is 46475.

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

It can be written as a sum of positive squares in 12 ways, for example, as 507015289 + 1652910336 = 22517^2 + 40656^2 .

It is not a de Polignac number, because 2159925625 - 2¹ = 2159925623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2159925623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 166148119 + ... + 166148131.

Almost surely, 2^2159925625 is an apocalyptic number.

2159925625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2159925625 is the 46475-th square number.

2159925625 is the 23238-th centered octagonal number.

It is an amenable number.

2159925625 is a deficient number, since it is larger than the sum of its proper divisors (1054008868).

2159925625 is an frugal number, since it uses more digits than its factorization.

2159925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 29 counting only the distinct ones).

The product of its digits is 486000, while the sum is 46.

The cubic root of 2159925625 is about 1292.6459771748.

The spelling of 2159925625 in words is "two billion, one hundred fifty-nine million, nine hundred twenty-five thousand, six hundred twenty-five".