1006501656 has 64 divisors (see below), whose sum is σ = 2541196800. Its totient is φ = 332194688.

The previous prime is 1006501651. The next prime is 1006501673. The reversal of 1006501656 is 6561056001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006501651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301686 + ... + 1302458.

It is an arithmetic number, because the mean of its divisors is an integer number (39706200).

Almost surely, 2^1006501656 is an apocalyptic number.

It is an amenable number.

1006501656 is an abundant number, since it is smaller than the sum of its proper divisors (1534695144).

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

1006501656 is a wasteful number, since it uses less digits than its factorization.

1006501656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

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

The square root of 1006501656 is about 31725.4102573946. The cubic root of 1006501656 is about 1002.1625387219.

Adding to 1006501656 its reverse (6561056001), we get a palindrome (7567557657).

The spelling of 1006501656 in words is "one billion, six million, five hundred one thousand, six hundred fifty-six".