52085089000000 has 441 divisors, whose sum is σ = 150432553481637. Its totient is φ = 17840424000000.

The previous prime is 52085088999961. The next prime is 52085089000069. The reversal of 52085089000000 is 98058025.

It is a happy number.

The square root of 52085089000000 is 7217000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 45631538132544 + 6453550867456 = 6755112^2 + 2540384^2 .

It is a super-2 number, since 2×52085089000000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 50518999485 + ... + 50519000515.

Almost surely, 2^{52085089000000} is an apocalyptic number.

52085089000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52085089000000 is the 7217000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52085089000000

52085089000000 is an abundant number, since it is smaller than the sum of its proper divisors (98347464481637).

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

52085089000000 is an frugal number, since it uses more digits than its factorization.

52085089000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 52085089000000 in words is "fifty-two trillion, eighty-five billion, eighty-nine million", and thus it is an aban number and an uban number.