4002516625 has 16 divisors (see below), whose sum is σ = 5130150480. Its totient is φ = 3115468800.

The previous prime is 4002516619. The next prime is 4002516629. The reversal of 4002516625 is 5266152004.

4002516625 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 8 ways, for example, as 12194064 + 3990322561 = 3492^2 + 63169^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4002516625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4002516629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428080 + ... + 437329.

It is an arithmetic number, because the mean of its divisors is an integer number (320634405).

Almost surely, 2^4002516625 is an apocalyptic number.

It is an amenable number.

4002516625 is a deficient number, since it is larger than the sum of its proper divisors (1127633855).

4002516625 is an equidigital number, since it uses as much as digits as its factorization.

4002516625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865461 (or 865451 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 4002516625 is about 63265.4457425220. The cubic root of 4002516625 is about 1587.7338899400.

Adding to 4002516625 its reverse (5266152004), we get a palindrome (9268668629).

The spelling of 4002516625 in words is "four billion, two million, five hundred sixteen thousand, six hundred twenty-five".