5601312 has 60 divisors (see below), whose sum is σ = 16480926. Its totient is φ = 1866240.

The previous prime is 5601307. The next prime is 5601317. The reversal of 5601312 is 2131065.

It is an interprime number because it is at equal distance from previous prime (5601307) and next prime (5601317).

It can be written as a sum of positive squares in only one way, i.e., 4511376 + 1089936 = 2124^2 + 1044^2 .

It is a super-2 number, since 2×5601312² = 62749392242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5601317) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1512 + ... + 3672.

Almost surely, 2^5601312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240463).

5601312 is an abundant number, since it is smaller than the sum of its proper divisors (10879614).

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

5601312 is a wasteful number, since it uses less digits than its factorization.

5601312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5601312 is about 2366.7091076007. The cubic root of 5601312 is about 177.5946674805.

Adding to 5601312 its reverse (2131065), we get a palindrome (7732377).

The spelling of 5601312 in words is "five million, six hundred one thousand, three hundred twelve".