6516181152 has 288 divisors, whose sum is σ = 21503978496. Its totient is φ = 1855180800.

The previous prime is 6516181099. The next prime is 6516181153. The reversal of 6516181152 is 2511816156.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (6516181153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668252 + ... + 2670692.

It is an arithmetic number, because the mean of its divisors is an integer number (74666592).

Almost surely, 2^6516181152 is an apocalyptic number.

6516181152 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6516181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751989248).

6516181152 is an abundant number, since it is smaller than the sum of its proper divisors (14987797344).

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

6516181152 is a wasteful number, since it uses less digits than its factorization.

6516181152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2513 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 6516181152 is about 80722.8663514868. The cubic root of 6516181152 is about 1867.8029189864.

The spelling of 6516181152 in words is "six billion, five hundred sixteen million, one hundred eighty-one thousand, one hundred fifty-two".