561300 has 36 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 149600.

The previous prime is 561277. The next prime is 561307. The reversal of 561300 is 3165.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 561300.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 561300.

It is not an unprimeable number, because it can be changed into a prime (561307) by changing a digit.

561300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2⁵⁶¹³⁰⁰ is an apocalyptic number.

561300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561300 is an abundant number, since it is smaller than the sum of its proper divisors (1063596).

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

561300 is a wasteful number, since it uses less digits than its factorization.

561300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 561300 is about 749.1995728776. The cubic root of 561300 is about 82.4894385011.

Adding to 561300 its reverse (3165), we get a palindrome (564465).

It can be divided in two parts, 561 and 300, that added together give a triangular number (861 = T₄₁).

The spelling of 561300 in words is "five hundred sixty-one thousand, three hundred".