561642601 has 9 divisors (see below), whose sum is σ = 608502999. Its totient is φ = 518154936.

The previous prime is 561642581. The next prime is 561642619. The reversal of 561642601 is 106246165.

The square root of 561642601 is 23699.

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., 83083225 + 478559376 = 9115^2 + 21876^2 .

It is not a de Polignac number, because 561642601 - 2⁵ = 561642569 is a prime.

It is a super-2 number, since 2×561642601² = 630884822516090402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561642661) 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, 307176 + ... + 308998.

Almost surely, 2^561642601 is an apocalyptic number.

561642601 is the 23699-th square number.

561642601 is the 11850-th centered octagonal number.

It is an amenable number.

561642601 is a deficient number, since it is larger than the sum of its proper divisors (46860398).

561642601 is an frugal number, since it uses more digits than its factorization.

561642601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 561642601 is about 825.0621812942.

Adding to 561642601 its reverse (106246165), we get a palindrome (667888766).

The spelling of 561642601 in words is "five hundred sixty-one million, six hundred forty-two thousand, six hundred one".