52524005200000 has 384 divisors, whose sum is σ = 136680304400640. Its totient is φ = 20065943040000.

The previous prime is 52524005199979. The next prime is 52524005200003. The reversal of 52524005200000 is 250042525.

It is a happy number.

It is a super-2 number, since 2×52524005200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52524005200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6688396074 + ... + 6688403926.

It is an arithmetic number, because the mean of its divisors is an integer number (355938292710).

Almost surely, 2^{52524005200000} is an apocalyptic number.

52524005200000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52524005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68340152200320).

52524005200000 is an abundant number, since it is smaller than the sum of its proper divisors (84156299200640).

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

52524005200000 is an frugal number, since it uses more digits than its factorization.

52524005200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 52524005200000 its reverse (250042525), we get a palindrome (52524255242525).

The spelling of 52524005200000 in words is "fifty-two trillion, five hundred twenty-four billion, five million, two hundred thousand".