201006531251664 has 80 divisors (see below), whose sum is σ = 520925336138688. Its totient is φ = 66788301920256.

The previous prime is 201006531251551. The next prime is 201006531251689. The reversal of 201006531251664 is 466152135600102.

201006531251664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51706674 + ... + 55458030.

Almost surely, 2^{201006531251664} is an apocalyptic number.

201006531251664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201006531251664 is an abundant number, since it is smaller than the sum of its proper divisors (319918804887024).

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

201006531251664 is a wasteful number, since it uses less digits than its factorization.

201006531251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754932 (or 3754926 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 201006531251664 its reverse (466152135600102), we get a palindrome (667158666851766).

The spelling of 201006531251664 in words is "two hundred one trillion, six billion, five hundred thirty-one million, two hundred fifty-one thousand, six hundred sixty-four".