6125053536 has 288 divisors, whose sum is σ = 20530298880. Its totient is φ = 1695955968.

The previous prime is 6125053523. The next prime is 6125053549. The reversal of 6125053536 is 6353505216.

6125053536 is a `hidden beast` number, since 612 + 5 + 0 + 5 + 3 + 5 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (6125053523) and next prime (6125053549).

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

It is a super-2 number, since 2×6125053536² = 75032561637732206592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6125053536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12033250 + ... + 12033758.

It is an arithmetic number, because the mean of its divisors is an integer number (71285760).

Almost surely, 2^6125053536 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 6125053536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265149440).

6125053536 is an abundant number, since it is smaller than the sum of its proper divisors (14405245344).

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

6125053536 is a wasteful number, since it uses less digits than its factorization.

6125053536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 6125053536 is about 78262.7212407031. The cubic root of 6125053536 is about 1829.6581857331.

The spelling of 6125053536 in words is "six billion, one hundred twenty-five million, fifty-three thousand, five hundred thirty-six".