4956582409 has 9 divisors (see below), whose sum is σ = 5183148999. Its totient is φ = 4739529960.

The previous prime is 4956582361. The next prime is 4956582427. The reversal of 4956582409 is 9042856594.

The square root of 4956582409 is 70403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4726150009 + 230432400 = 68747^2 + 15180^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4956582409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4956582479) 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 8 ways as a sum of consecutive naturals, for example, 1617739 + ... + 1620799.

Almost surely, 2^4956582409 is an apocalyptic number.

4956582409 is the 70403-rd square number.

4956582409 is the 35202-nd centered octagonal number.

It is an amenable number.

4956582409 is a deficient number, since it is larger than the sum of its proper divisors (226566590).

4956582409 is an frugal number, since it uses more digits than its factorization.

4956582409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The cubic root of 4956582409 is about 1705.0120149479.

The spelling of 4956582409 in words is "four billion, nine hundred fifty-six million, five hundred eighty-two thousand, four hundred nine".