52008251904 has 720 divisors, whose sum is σ = 191026836000. Its totient is φ = 14046068736.

The previous prime is 52008251899. The next prime is 52008251917. The reversal of 52008251904 is 40915280025.

52008251904 is a `hidden beast` number, since 520 + 0 + 82 + 51 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×52008251904² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 115831072 + ... + 115831520.

It is an arithmetic number, because the mean of its divisors is an integer number (265315050).

Almost surely, 2^52008251904 is an apocalyptic number.

52008251904 is a gapful number since it is divisible by the number (54) 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 52008251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95513418000).

52008251904 is an abundant number, since it is smaller than the sum of its proper divisors (139018584096).

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

52008251904 is an equidigital number, since it uses as much as digits as its factorization.

52008251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52008251904 in words is "fifty-two billion, eight million, two hundred fifty-one thousand, nine hundred four".