5017561560 has 384 divisors, whose sum is σ = 19112708160. Its totient is φ = 1128038400.

The previous prime is 5017561559. The next prime is 5017561561. The reversal of 5017561560 is 651657105.

It is an interprime number because it is at equal distance from previous prime (5017561559) and next prime (5017561561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017561561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4913850 + ... + 4914870.

Almost surely, 2^5017561560 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 5017561560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556354080).

5017561560 is an abundant number, since it is smaller than the sum of its proper divisors (14095146600).

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

5017561560 is a wasteful number, since it uses less digits than its factorization.

5017561560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5017561560 is about 70834.7482525349. The cubic root of 5017561560 is about 1711.9755970479.

The spelling of 5017561560 in words is "five billion, seventeen million, five hundred sixty-one thousand, five hundred sixty".