83001210250000 has 945 divisors, whose sum is σ = 248604296125059. Its totient is φ = 26763004800000.

The previous prime is 83001210249983. The next prime is 83001210250003. The reversal of 83001210250000 is 5201210038.

The square root of 83001210250000 is 9110500.

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

It can be written as a sum of positive squares in 10 ways, for example, as 73883032834576 + 9118177415424 = 8595524^2 + 3019632^2 .

It is not an unprimeable number, because it can be changed into a prime (83001210250003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 605848249932 + ... + 605848250068.

Almost surely, 2^{83001210250000} is an apocalyptic number.

83001210250000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83001210250000 is the 9110500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83001210250000

83001210250000 is an abundant number, since it is smaller than the sum of its proper divisors (165603085875059).

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

83001210250000 is an frugal number, since it uses more digits than its factorization.

83001210250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 83001210250000 its reverse (5201210038), we get a palindrome (83006411460038).

The spelling of 83001210250000 in words is "eighty-three trillion, one billion, two hundred ten million, two hundred fifty thousand".