201152250000 has 945 divisors, whose sum is σ = 796536620607. Its totient is φ = 47361600000.

The previous prime is 201152249993. The next prime is 201152250053. The reversal of 201152250000 is 52251102.

The square root of 201152250000 is 448500.

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 94364467344 + 106787782656 = 307188^2 + 326784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 8745749989 + ... + 8745750011.

Almost surely, 2^201152250000 is an apocalyptic number.

201152250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201152250000 is the 448500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201152250000

201152250000 is an abundant number, since it is smaller than the sum of its proper divisors (595384370607).

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

201152250000 is an equidigital number, since it uses as much as digits as its factorization.

201152250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 201152250000 in words is "two hundred one billion, one hundred fifty-two million, two hundred fifty thousand".