1007516146 has 72 divisors (see below), whose sum is σ = 1922641920. Its totient is φ = 394613856.

The previous prime is 1007516137. The next prime is 1007516161. The reversal of 1007516146 is 6416157001.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2103135 + ... + 2103613.

It is an arithmetic number, because the mean of its divisors is an integer number (26703360).

Almost surely, 2^1007516146 is an apocalyptic number.

1007516146 is a deficient number, since it is larger than the sum of its proper divisors (915125774).

1007516146 is a wasteful number, since it uses less digits than its factorization.

1007516146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1007516146 is about 31741.3948338758. The cubic root of 1007516146 is about 1002.4991311406.

The spelling of 1007516146 in words is "one billion, seven million, five hundred sixteen thousand, one hundred forty-six".