1007500005 has 32 divisors (see below), whose sum is σ = 1803168000. Its totient is φ = 533716416.

The previous prime is 1007499953. The next prime is 1007500007. The reversal of 1007500005 is 5000057001.

It is a happy number.

It is not a de Polignac number, because 1007500005 - 2⁸ = 1007499749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007500007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4929 + ... + 45158.

It is an arithmetic number, because the mean of its divisors is an integer number (56349000).

Almost surely, 2^1007500005 is an apocalyptic number.

1007500005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007500005 is a deficient number, since it is larger than the sum of its proper divisors (795667995).

1007500005 is a wasteful number, since it uses less digits than its factorization.

1007500005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50250 (or 50244 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 1007500005 is about 31741.1405749699. The cubic root of 1007500005 is about 1002.4937775706.

Adding to 1007500005 its reverse (5000057001), we get a palindrome (6007557006).

The spelling of 1007500005 in words is "one billion, seven million, five hundred thousand, five".