8725624201 has 16 divisors (see below), whose sum is σ = 10500904960. Its totient is φ = 7082827920.

The previous prime is 8725624183. The next prime is 8725624211. The reversal of 8725624201 is 1024265278.

It is a happy number.

It is not a de Polignac number, because 8725624201 - 2¹⁷ = 8725493129 is a prime.

It is a super-2 number, since 2×8725624201² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8725624211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397216 + ... + 418606.

It is an arithmetic number, because the mean of its divisors is an integer number (656306560).

Almost surely, 2^8725624201 is an apocalyptic number.

It is an amenable number.

8725624201 is a deficient number, since it is larger than the sum of its proper divisors (1775280759).

8725624201 is a wasteful number, since it uses less digits than its factorization.

8725624201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24484.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 8725624201 is about 93411.0496729375. The cubic root of 8725624201 is about 2058.7273536428.

Adding to 8725624201 its reverse (1024265278), we get a palindrome (9749889479).

The spelling of 8725624201 in words is "eight billion, seven hundred twenty-five million, six hundred twenty-four thousand, two hundred one".