201952512 has 216 divisors, whose sum is σ = 630075264. Its totient is φ = 62042112.

The previous prime is 201952451. The next prime is 201952579. The reversal of 201952512 is 215259102.

It is a super-2 number, since 2×201952512² = 81569634206220288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960653 + ... + 1960755.

Almost surely, 2^201952512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315037632).

201952512 is an abundant number, since it is smaller than the sum of its proper divisors (428122752).

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

201952512 is a wasteful number, since it uses less digits than its factorization.

201952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 201952512 is about 14210.9996833439. Note that the first 3 decimals coincide. The cubic root of 201952512 is about 586.7004480089.

The spelling of 201952512 in words is "two hundred one million, nine hundred fifty-two thousand, five hundred twelve".