2072525625 has 45 divisors (see below), whose sum is σ = 3747035721. Its totient is φ = 1103526000.

The previous prime is 2072525617. The next prime is 2072525639. The reversal of 2072525625 is 5265252702.

It is a happy number.

The square root of 2072525625 is 45525.

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

2072525625 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 5 + 25 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162486009 + 1910039616 = 12747^2 + 43704^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2072525625 - 2³ = 2072525617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2072525625.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 3414072 + ... + 3414678.

Almost surely, 2^2072525625 is an apocalyptic number.

2072525625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2072525625 is the 45525-th square number.

2072525625 is the 22763-rd centered octagonal number.

It is an amenable number.

2072525625 is a deficient number, since it is larger than the sum of its proper divisors (1674510096).

2072525625 is an frugal number, since it uses more digits than its factorization.

2072525625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The cubic root of 2072525625 is about 1274.9700108287.

Multiplying 2072525625 by its sum of digits (36), we get a square (74610922500 = 273150²).

The spelling of 2072525625 in words is "two billion, seventy-two million, five hundred twenty-five thousand, six hundred twenty-five".