1002116431 has 8 divisors (see below), whose sum is σ = 1045849680. Its totient is φ = 958995072.

The previous prime is 1002116413. The next prime is 1002116443. The reversal of 1002116431 is 1346112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002116431 - 2⁷ = 1002116303 is a prime.

It is a super-2 number, since 2×1002116431² = 2008474682560355522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002116399 and 1002116408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002116491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149625 + ... + 156178.

It is an arithmetic number, because the mean of its divisors is an integer number (130731210).

Almost surely, 2^1002116431 is an apocalyptic number.

1002116431 is a deficient number, since it is larger than the sum of its proper divisors (43733249).

1002116431 is a wasteful number, since it uses less digits than its factorization.

1002116431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305945.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1002116431 is about 31656.2226268391. Note that the first 3 decimals coincide. The cubic root of 1002116431 is about 1000.7049798866.

Adding to 1002116431 its reverse (1346112001), we get a palindrome (2348228432).

The spelling of 1002116431 in words is "one billion, two million, one hundred sixteen thousand, four hundred thirty-one".