2045300625 has 105 divisors (see below), whose sum is σ = 3890005581. Its totient is φ = 1074546000.

The previous prime is 2045300623. The next prime is 2045300629. The reversal of 2045300625 is 5260035402.

The square root of 2045300625 is 45225.

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

2045300625 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 30 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160351569 + 1884949056 = 12663^2 + 43416^2 .

It is not a de Polignac number, because 2045300625 - 2¹ = 2045300623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2045300623) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 30526842 + ... + 30526908.

Almost surely, 2^2045300625 is an apocalyptic number.

2045300625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2045300625 is the 45225-th square number.

2045300625 is the 22613-rd centered octagonal number.

It is an amenable number.

2045300625 is a deficient number, since it is larger than the sum of its proper divisors (1844704956).

2045300625 is an frugal number, since it uses more digits than its factorization.

2045300625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 2045300625 is about 1269.3626547632.

The spelling of 2045300625 in words is "two billion, forty-five million, three hundred thousand, six hundred twenty-five".