6151551516 has 72 divisors (see below), whose sum is σ = 17052392448. Its totient is φ = 1854324000.

The previous prime is 6151551509. The next prime is 6151551589.

It is a happy number.

6151551516 is a `hidden beast` number, since 6 + 1 + 51 + 551 + 51 + 6 = 666.

6151551516 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34971 + ... + 116301.

It is an arithmetic number, because the mean of its divisors is an integer number (236838784).

Almost surely, 2^6151551516 is an apocalyptic number.

6151551516 is a gapful number since it is divisible by the number (66) 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 6151551516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526196224).

6151551516 is an abundant number, since it is smaller than the sum of its proper divisors (10900840932).

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

6151551516 is a wasteful number, since it uses less digits than its factorization.

6151551516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81543 (or 81538 counting only the distinct ones).

The product of its digits is 22500, while the sum is 36.

The square root of 6151551516 is about 78431.8271876921. The cubic root of 6151551516 is about 1832.2928565565.

The spelling of 6151551516 in words is "six billion, one hundred fifty-one million, five hundred fifty-one thousand, five hundred sixteen".