1007612721 has 12 divisors (see below), whose sum is σ = 1456038480. Its totient is φ = 671465880.

The previous prime is 1007612719. The next prime is 1007612741. The reversal of 1007612721 is 1272167001.

It is not a de Polignac number, because 1007612721 - 2¹ = 1007612719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007612741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 44916.

It is an arithmetic number, because the mean of its divisors is an integer number (121336540).

Almost surely, 2^1007612721 is an apocalyptic number.

It is an amenable number.

1007612721 is a deficient number, since it is larger than the sum of its proper divisors (448425759).

1007612721 is a wasteful number, since it uses less digits than its factorization.

1007612721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45996 (or 45993 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1007612721 is about 31742.9160758743. The cubic root of 1007612721 is about 1002.5311614827.

Adding to 1007612721 its reverse (1272167001), we get a palindrome (2279779722).

The spelling of 1007612721 in words is "one billion, seven million, six hundred twelve thousand, seven hundred twenty-one".