201265020 has 192 divisors, whose sum is σ = 705761280. Its totient is φ = 47174400.

The previous prime is 201265013. The next prime is 201265021. The reversal of 201265020 is 20562102.

201265020 is a `hidden beast` number, since 2 + 0 + 12 + 650 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201264984 and 201265002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201265021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183594 + ... + 184686.

It is an arithmetic number, because the mean of its divisors is an integer number (3675840).

Almost surely, 2^201265020 is an apocalyptic number.

201265020 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 201265020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352880640).

201265020 is an abundant number, since it is smaller than the sum of its proper divisors (504496260).

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

201265020 is a wasteful number, since it uses less digits than its factorization.

201265020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201265020 is about 14186.7903346740. The cubic root of 201265020 is about 586.0339374708.

The spelling of 201265020 in words is "two hundred one million, two hundred sixty-five thousand, twenty".