1007668503 has 6 divisors (see below), whose sum is σ = 1455521184. Its totient is φ = 671778996.

The previous prime is 1007668499. The next prime is 1007668511. The reversal of 1007668503 is 3058667001.

It is not a de Polignac number, because 1007668503 - 2² = 1007668499 is a prime.

It is a super-3 number, since 3×1007668503³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007668513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55981575 + ... + 55981592.

It is an arithmetic number, because the mean of its divisors is an integer number (242586864).

Almost surely, 2^1007668503 is an apocalyptic number.

1007668503 is a deficient number, since it is larger than the sum of its proper divisors (447852681).

1007668503 is a wasteful number, since it uses less digits than its factorization.

1007668503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111963173 (or 111963170 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1007668503 is about 31743.7947164481. The cubic root of 1007668503 is about 1002.5496613686.

The spelling of 1007668503 in words is "one billion, seven million, six hundred sixty-eight thousand, five hundred three".