1006506516 has 24 divisors (see below), whose sum is σ = 2352097440. Its totient is φ = 334990432.

The previous prime is 1006506497. The next prime is 1006506541. The reversal of 1006506516 is 6156056001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55731 + ... + 71546.

It is an arithmetic number, because the mean of its divisors is an integer number (98004060).

Almost surely, 2^1006506516 is an apocalyptic number.

It is an amenable number.

1006506516 is an abundant number, since it is smaller than the sum of its proper divisors (1345590924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006506516 is a wasteful number, since it uses less digits than its factorization.

1006506516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127943 (or 127941 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1006506516 is about 31725.4868520563. The cubic root of 1006506516 is about 1002.1641517353.

The spelling of 1006506516 in words is "one billion, six million, five hundred six thousand, five hundred sixteen".