5601313664 has 48 divisors (see below), whose sum is σ = 11265924480. Its totient is φ = 2773870848.

The previous prime is 5601313661. The next prime is 5601313667. The reversal of 5601313664 is 4663131065.

It is an interprime number because it is at equal distance from previous prime (5601313661) and next prime (5601313667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601313661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9541979 + ... + 9542565.

It is an arithmetic number, because the mean of its divisors is an integer number (234706760).

Almost surely, 2^5601313664 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 5601313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632962240).

5601313664 is an abundant number, since it is smaller than the sum of its proper divisors (5664610816).

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

5601313664 is an frugal number, since it uses more digits than its factorization.

5601313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 5601313664 is about 74841.9245075913. The cubic root of 5601313664 is about 1775.9468506671.

The spelling of 5601313664 in words is "five billion, six hundred one million, three hundred thirteen thousand, six hundred sixty-four".