201285513576 has 384 divisors, whose sum is σ = 680827680000. Its totient is φ = 53509091328.

The previous prime is 201285513571. The next prime is 201285513589. The reversal of 201285513576 is 675315582102.

201285513576 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 85 + 513 + 57 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (201285513571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37362355 + ... + 37367741.

It is an arithmetic number, because the mean of its divisors is an integer number (1772988750).

Almost surely, 2^201285513576 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 201285513576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340413840000).

201285513576 is an abundant number, since it is smaller than the sum of its proper divisors (479542166424).

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

201285513576 is a wasteful number, since it uses less digits than its factorization.

201285513576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 201285513576 in words is "two hundred one billion, two hundred eighty-five million, five hundred thirteen thousand, five hundred seventy-six".