2007488025 has 81 divisors (see below), whose sum is σ = 3760402269. Its totient is φ = 1023704640.

The previous prime is 2007488011. The next prime is 2007488029. The reversal of 2007488025 is 5208847002.

It is a happy number.

The square root of 2007488025 is 44805.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27594009 + 1979894016 = 5253^2 + 44496^2 .

It is not a de Polignac number, because 2007488025 - 2¹⁵ = 2007455257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2007488029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19490124 + ... + 19490226.

Almost surely, 2^2007488025 is an apocalyptic number.

2007488025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2007488025 is the 44805-th square number.

2007488025 is the 22403-rd centered octagonal number.

It is an amenable number.

2007488025 is a deficient number, since it is larger than the sum of its proper divisors (1752914244).

2007488025 is a wasteful number, since it uses less digits than its factorization.

2007488025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 2007488025 is about 1261.4914783412.

Multiplying 2007488025 by its sum of digits (36), we get a square (72269568900 = 268830²).

The spelling of 2007488025 in words is "two billion, seven million, four hundred eighty-eight thousand, twenty-five".