5135163761520 has 480 divisors, whose sum is σ = 20299019779584. Its totient is φ = 1151306956800.

The previous prime is 5135163761491. The next prime is 5135163761569. The reversal of 5135163761520 is 251673615315.

5135163761520 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 1 + 6 + 3 + 7 + 615 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4412200 + ... + 5453240.

Almost surely, 2^{5135163761520} 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 5135163761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149509889792).

5135163761520 is an abundant number, since it is smaller than the sum of its proper divisors (15163856018064).

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

5135163761520 is a wasteful number, since it uses less digits than its factorization.

5135163761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041121 (or 1041112 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 5135163761520 in words is "five trillion, one hundred thirty-five billion, one hundred sixty-three million, seven hundred sixty-one thousand, five hundred twenty".