201652779952001 has 8 divisors (see below), whose sum is σ = 230461091433024. Its totient is φ = 172844661342960.

The previous prime is 201652779951971. The next prime is 201652779952003. The reversal of 201652779952001 is 100259977256102.

201652779952001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201652779952001 - 2¹⁴ = 201652779935617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201652779952003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45970595 + ... + 50165736.

It is an arithmetic number, because the mean of its divisors is an integer number (28807636429128).

Almost surely, 2^{201652779952001} is an apocalyptic number.

It is an amenable number.

201652779952001 is a deficient number, since it is larger than the sum of its proper divisors (28808311481023).

201652779952001 is an equidigital number, since it uses as much as digits as its factorization.

201652779952001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96435991.

The product of its (nonzero) digits is 4762800, while the sum is 56.

The spelling of 201652779952001 in words is "two hundred one trillion, six hundred fifty-two billion, seven hundred seventy-nine million, nine hundred fifty-two thousand, one".