1007112051 has 24 divisors (see below), whose sum is σ = 1588654080. Its totient is φ = 609721200.

The previous prime is 1007112049. The next prime is 1007112077. The reversal of 1007112051 is 1502117001.

It is a happy number.

It is not a de Polignac number, because 1007112051 - 2¹ = 1007112049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007112251) 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 23 ways as a sum of consecutive naturals, for example, 97966 + ... + 107756.

It is an arithmetic number, because the mean of its divisors is an integer number (66193920).

Almost surely, 2^1007112051 is an apocalyptic number.

1007112051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1007112051 is a deficient number, since it is larger than the sum of its proper divisors (581542029).

1007112051 is a wasteful number, since it uses less digits than its factorization.

1007112051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 1007112051 is about 31735.0287694844. The cubic root of 1007112051 is about 1002.3650856268.

Adding to 1007112051 its reverse (1502117001), we get a palindrome (2509229052).

It can be divided in two parts, 10071 and 12051, that added together give a palindrome (22122).

The spelling of 1007112051 in words is "one billion, seven million, one hundred twelve thousand, fifty-one".