1007152321 has 24 divisors (see below), whose sum is σ = 1231327680. Its totient is φ = 820344672.

The previous prime is 1007152303. The next prime is 1007152327. The reversal of 1007152321 is 1232517001.

It is a happy number.

1007152321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007152321 - 2⁷ = 1007152193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007152292 and 1007152301.

It is not an unprimeable number, because it can be changed into a prime (1007152327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71500 + ... + 84418.

It is an arithmetic number, because the mean of its divisors is an integer number (51305320).

Almost surely, 2^1007152321 is an apocalyptic number.

It is an amenable number.

1007152321 is a deficient number, since it is larger than the sum of its proper divisors (224175359).

1007152321 is a wasteful number, since it uses less digits than its factorization.

1007152321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1007152321 is about 31735.6632355462. The cubic root of 1007152321 is about 1002.3784455120.

Adding to 1007152321 its reverse (1232517001), we get a palindrome (2239669322).

The spelling of 1007152321 in words is "one billion, seven million, one hundred fifty-two thousand, three hundred twenty-one".