1007112049 has 2 divisors, whose sum is σ = 1007112050. Its totient is φ = 1007112048.

The previous prime is 1007112047. The next prime is 1007112077. The reversal of 1007112049 is 9402117001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 932203024 + 74909025 = 30532^2 + 8655^2 .

It is an emirp because it is prime and its reverse (9402117001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007112049 - 2¹ = 1007112047 is a prime.

Together with 1007112047, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1007112047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503556024 + 503556025.

It is an arithmetic number, because the mean of its divisors is an integer number (503556025).

Almost surely, 2^1007112049 is an apocalyptic number.

It is an amenable number.

1007112049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007112049 is an equidigital number, since it uses as much as digits as its factorization.

1007112049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 1007112049 is about 31735.0287379734. The cubic root of 1007112049 is about 1002.3650849633.

The spelling of 1007112049 in words is "one billion, seven million, one hundred twelve thousand, forty-nine".