6172251552 has 72 divisors (see below), whose sum is σ = 17590793220. Its totient is φ = 2052910080.

The previous prime is 6172251541. The next prime is 6172251587. The reversal of 6172251552 is 2551522716.

6172251552 is a `hidden beast` number, since 617 + 2 + 25 + 15 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6052217616 + 120033936 = 77796^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 109524 + ... + 156012.

Almost surely, 2^6172251552 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 6172251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795396610).

6172251552 is an abundant number, since it is smaller than the sum of its proper divisors (11418541668).

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

6172251552 is a wasteful number, since it uses less digits than its factorization.

6172251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46966 (or 46955 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 6172251552 is about 78563.6783252923. The cubic root of 6172251552 is about 1834.3457838573.

The spelling of 6172251552 in words is "six billion, one hundred seventy-two million, two hundred fifty-one thousand, five hundred fifty-two".