273006250000 has 405 divisors, whose sum is σ = 767022556503. Its totient is φ = 94050000000.

The previous prime is 273006249973. The next prime is 273006250003. The reversal of 273006250000 is 52600372.

The square root of 273006250000 is 522500.

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

It can be written as a sum of positive squares in 4 ways, for example, as 194103687184 + 78902562816 = 440572^2 + 280896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (273006250003) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14368749991 + ... + 14368750009.

Almost surely, 2^273006250000 is an apocalyptic number.

273006250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

273006250000 is the 522500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273006250000

273006250000 is an abundant number, since it is smaller than the sum of its proper divisors (494016306503).

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

273006250000 is an frugal number, since it uses more digits than its factorization.

273006250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

Multiplying 273006250000 by its sum of digits (25), we get a square (6825156250000 = 2612500²).

273006250000 divided by its sum of digits (25) gives a square (10920250000 = 104500²).

Adding to 273006250000 its reverse (52600372), we get a palindrome (273058850372).

The spelling of 273006250000 in words is "two hundred seventy-three billion, six million, two hundred fifty thousand".