201053952 has 108 divisors (see below), whose sum is σ = 632466744. Its totient is φ = 60917760.

The previous prime is 201053947. The next prime is 201053969. The reversal of 201053952 is 259350102.

It is a super-2 number, since 2×201053952² = 80845383229636608, 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 11 ways as a sum of consecutive naturals, for example, 21378 + ... + 29310.

Almost surely, 2^201053952 is an apocalyptic number.

201053952 is a gapful number since it is divisible by the number (22) 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 201053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316233372).

201053952 is an abundant number, since it is smaller than the sum of its proper divisors (431412792).

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

201053952 is a wasteful number, since it uses less digits than its factorization.

201053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 201053952 is about 14179.3494914259. The cubic root of 201053952 is about 585.8290065534.

The spelling of 201053952 in words is "two hundred one million, fifty-three thousand, nine hundred fifty-two".