201713652000 has 1920 divisors, whose sum is σ = 925473669120. Its totient is φ = 41990400000.

The previous prime is 201713651977. The next prime is 201713652001. The reversal of 201713652000 is 256317102.

It is a happy number.

201713652000 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 1 + 3 + 652 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201713652001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1335851925 + ... + 1335852075.

It is an arithmetic number, because the mean of its divisors is an integer number (482017536).

Almost surely, 2^201713652000 is an apocalyptic number.

201713652000 is a gapful number since it is divisible by the number (20) 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 201713652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462736834560).

201713652000 is an abundant number, since it is smaller than the sum of its proper divisors (723760017120).

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

201713652000 is a wasteful number, since it uses less digits than its factorization.

201713652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 201713652000 its reverse (256317102), we get a palindrome (201969969102).

The spelling of 201713652000 in words is "two hundred one billion, seven hundred thirteen million, six hundred fifty-two thousand".