5061157613568 has 1040 divisors, whose sum is σ = 17811454003200. Its totient is φ = 1402122534912.

The previous prime is 5061157613509. The next prime is 5061157613627. The reversal of 5061157613568 is 8653167511605.

5061157613568 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 1 + 5 + 76 + 1 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (5061157613509) and next prime (5061157613627).

It is a super-3 number, since 3×5061157613568³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21721706380 + ... + 21721706612.

It is an arithmetic number, because the mean of its divisors is an integer number (17126398080).

Almost surely, 2^{5061157613568} 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 5061157613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905727001600).

5061157613568 is an abundant number, since it is smaller than the sum of its proper divisors (12750296389632).

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

5061157613568 is a wasteful number, since it uses less digits than its factorization.

5061157613568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5061157613568 in words is "five trillion, sixty-one billion, one hundred fifty-seven million, six hundred thirteen thousand, five hundred sixty-eight".