201183473028552 has 384 divisors, whose sum is σ = 653288095756800. Its totient is φ = 51158651701248.

The previous prime is 201183473028547. The next prime is 201183473028599. The reversal of 201183473028552 is 255820374381102.

It is a super-2 number, since 2×201183473028552² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 201183473028495 and 201183473028504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207292723 + ... + 208260989.

It is an arithmetic number, because the mean of its divisors is an integer number (1701271082700).

Almost surely, 2^{201183473028552} 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 201183473028552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326644047878400).

201183473028552 is an abundant number, since it is smaller than the sum of its proper divisors (452104622728248).

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

201183473028552 is a wasteful number, since it uses less digits than its factorization.

201183473028552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968873 (or 968862 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 201183473028552 in words is "two hundred one trillion, one hundred eighty-three billion, four hundred seventy-three million, twenty-eight thousand, five hundred fifty-two".