201826512 has 160 divisors (see below), whose sum is σ = 620595200. Its totient is φ = 62612352.

The previous prime is 201826511. The next prime is 201826529. The reversal of 201826512 is 215628102.

It is a happy number.

201826512 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 2 + 651 + 2 = 666.

201826512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201826512² = 81467881892172288, which contains 22 as substring.

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 (201826511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549753 + ... + 550119.

It is an arithmetic number, because the mean of its divisors is an integer number (3878720).

Almost surely, 2^201826512 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 201826512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310297600).

201826512 is an abundant number, since it is smaller than the sum of its proper divisors (418768688).

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

201826512 is a wasteful number, since it uses less digits than its factorization.

201826512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 201826512 is about 14206.5658059927. The cubic root of 201826512 is about 586.5784067180.

The spelling of 201826512 in words is "two hundred one million, eight hundred twenty-six thousand, five hundred twelve".