4806787561 has 27 divisors (see below), whose sum is σ = 5258925093. Its totient is φ = 4392812160.

The previous prime is 4806787541. The next prime is 4806787577. The reversal of 4806787561 is 1657876084.

The square root of 4806787561 is 69331.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2930165161 + 1876622400 = 54131^2 + 43320^2 .

It is not a de Polignac number, because 4806787561 - 2⁵ = 4806787529 is a prime.

It is a super-3 number, since 3×4806787561³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4806787499 and 4806787508.

It is not an unprimeable number, because it can be changed into a prime (4806787511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54008805 + ... + 54008893.

Almost surely, 2^4806787561 is an apocalyptic number.

4806787561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4806787561 is the 69331-st square number.

4806787561 is the 34666-th centered octagonal number.

It is an amenable number.

4806787561 is a deficient number, since it is larger than the sum of its proper divisors (452137532).

4806787561 is an frugal number, since it uses more digits than its factorization.

4806787561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The cubic root of 4806787561 is about 1687.6600742600.

The spelling of 4806787561 in words is "four billion, eight hundred six million, seven hundred eighty-seven thousand, five hundred sixty-one".