201521801435952 has 80 divisors (see below), whose sum is σ = 525767388063840. Its totient is φ = 66506952192000.

The previous prime is 201521801435873. The next prime is 201521801435989. The reversal of 201521801435952 is 259534108125102.

201521801435952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201521801435952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 175122874 + ... + 176269862.

It is an arithmetic number, because the mean of its divisors is an integer number (6572092350798).

Almost surely, 2^{201521801435952} is an apocalyptic number.

It is an amenable number.

201521801435952 is an abundant number, since it is smaller than the sum of its proper divisors (324245586627888).

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

201521801435952 is a wasteful number, since it uses less digits than its factorization.

201521801435952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183342 (or 1183336 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 201521801435952 in words is "two hundred one trillion, five hundred twenty-one billion, eight hundred one million, four hundred thirty-five thousand, nine hundred fifty-two".