201071520 has 288 divisors, whose sum is σ = 772716672. Its totient is φ = 47241216.

The previous prime is 201071491. The next prime is 201071531. The reversal of 201071520 is 25170102.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×201071520² = 80859512310220800, which contains 22 as substring.

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 = 201071493 and 201071502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430327 + ... + 430793.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^201071520 is an apocalyptic number.

201071520 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 201071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386358336).

201071520 is an abundant number, since it is smaller than the sum of its proper divisors (571645152).

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

201071520 is a wasteful number, since it uses less digits than its factorization.

201071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 201071520 is about 14179.9689703469. The cubic root of 201071520 is about 585.8460692110.

The spelling of 201071520 in words is "two hundred one million, seventy-one thousand, five hundred twenty".