8000525007 has 16 divisors (see below), whose sum is σ = 12029537280. Its totient is φ = 5254074936.

The previous prime is 8000524991. The next prime is 8000525053. The reversal of 8000525007 is 7005250008.

It is a happy number.

It is not a de Polignac number, because 8000525007 - 2⁴ = 8000524991 is a prime.

It is a super-3 number, since 3×8000525007³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000525077) 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, 2209503 + ... + 2213120.

It is an arithmetic number, because the mean of its divisors is an integer number (751846080).

Almost surely, 2^8000525007 is an apocalyptic number.

8000525007 is a deficient number, since it is larger than the sum of its proper divisors (4029012273).

8000525007 is a wasteful number, since it uses less digits than its factorization.

8000525007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422699 (or 4422693 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 8000525007 is about 89445.6539301938. The cubic root of 8000525007 is about 2000.0437496263.

The spelling of 8000525007 in words is "eight billion, five hundred twenty-five thousand, seven".