6156006516 has 72 divisors (see below), whose sum is σ = 17131514400. Its totient is φ = 1848329280.

The previous prime is 6156006509. The next prime is 6156006529.

6156006516 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28146 + ... + 114473.

It is an arithmetic number, because the mean of its divisors is an integer number (237937700).

Almost surely, 2^6156006516 is an apocalyptic number.

6156006516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6156006516 is an abundant number, since it is smaller than the sum of its proper divisors (10975507884).

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

6156006516 is a wasteful number, since it uses less digits than its factorization.

6156006516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142749 (or 142744 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6156006516 is about 78460.2225079690. Note that the first 3 decimals coincide. The cubic root of 6156006516 is about 1832.7350699239.

The spelling of 6156006516 in words is "six billion, one hundred fifty-six million, six thousand, five hundred sixteen".