1006734051 has 48 divisors (see below), whose sum is σ = 1518566400. Its totient is φ = 642335616.

The previous prime is 1006734037. The next prime is 1006734059. The reversal of 1006734051 is 1504376001.

It is not a de Polignac number, because 1006734051 - 2¹¹ = 1006732003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006734059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4320631 + ... + 4320863.

It is an arithmetic number, because the mean of its divisors is an integer number (31636800).

Almost surely, 2^1006734051 is an apocalyptic number.

1006734051 is a deficient number, since it is larger than the sum of its proper divisors (511832349).

1006734051 is a wasteful number, since it uses less digits than its factorization.

1006734051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1006734051 is about 31729.0726463917. The cubic root of 1006734051 is about 1002.2396638278.

The spelling of 1006734051 in words is "one billion, six million, seven hundred thirty-four thousand, fifty-one".