52521131501280 has 480 divisors, whose sum is σ = 200659189344768. Its totient is φ = 12860583321600.

The previous prime is 52521131501261. The next prime is 52521131501339. The reversal of 52521131501280 is 8210513112525.

52521131501280 is a `hidden beast` number, since 5 + 2 + 5 + 211 + 315 + 0 + 128 + 0 = 666.

52521131501280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31363620 + ... + 32995740.

Almost surely, 2^{52521131501280} 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 52521131501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100329594672384).

52521131501280 is an abundant number, since it is smaller than the sum of its proper divisors (148138057843488).

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

52521131501280 is a wasteful number, since it uses less digits than its factorization.

52521131501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632352 (or 1632335 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 52521131501280 in words is "fifty-two trillion, five hundred twenty-one billion, one hundred thirty-one million, five hundred one thousand, two hundred eighty".