1007111661 has 8 divisors (see below), whose sum is σ = 1342991904. Its totient is φ = 671319600.

The previous prime is 1007111657. The next prime is 1007111683. The reversal of 1007111661 is 1661117001.

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

It is not a de Polignac number, because 1007111661 - 2² = 1007111657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007111561) 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 7 ways as a sum of consecutive naturals, for example, 12211 + ... + 46511.

It is an arithmetic number, because the mean of its divisors is an integer number (167873988).

Almost surely, 2^1007111661 is an apocalyptic number.

It is an amenable number.

1007111661 is a deficient number, since it is larger than the sum of its proper divisors (335880243).

1007111661 is an equidigital number, since it uses as much as digits as its factorization.

1007111661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44091.

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 1007111661 is about 31735.0226248541. The cubic root of 1007111661 is about 1002.3649562396.

Adding to 1007111661 its reverse (1661117001), we get a palindrome (2668228662).

The spelling of 1007111661 in words is "one billion, seven million, one hundred eleven thousand, six hundred sixty-one".