52101004032 has 864 divisors, whose sum is σ = 198205862400. Its totient is φ = 13257768960.

The previous prime is 52101004003. The next prime is 52101004037. The reversal of 52101004032 is 23040010125.

52101004032 is a `hidden beast` number, since 521 + 0 + 100 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×52101004032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52101003996 and 52101004014.

It is not an unprimeable number, because it can be changed into a prime (52101004037) 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, 349671094 + ... + 349671242.

Almost surely, 2^52101004032 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 52101004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99102931200).

52101004032 is an abundant number, since it is smaller than the sum of its proper divisors (146104858368).

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

52101004032 is a wasteful number, since it uses less digits than its factorization.

52101004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 52101004032 its reverse (23040010125), we get a palindrome (75141014157).

The spelling of 52101004032 in words is "fifty-two billion, one hundred one million, four thousand, thirty-two".