537253121520 has 640 divisors, whose sum is σ = 2006271590400. Its totient is φ = 131704538112.

The previous prime is 537253121459. The next prime is 537253121543. The reversal of 537253121520 is 25121352735.

537253121520 is a `hidden beast` number, since 5 + 3 + 7 + 2 + 5 + 3 + 121 + 520 = 666.

It is a super-2 number, since 2×537253121520² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294707329 + ... + 294709151.

It is an arithmetic number, because the mean of its divisors is an integer number (3134799360).

Almost surely, 2^537253121520 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 537253121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003135795200).

537253121520 is an abundant number, since it is smaller than the sum of its proper divisors (1469018468880).

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

537253121520 is a wasteful number, since it uses less digits than its factorization.

537253121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 537253121520 in words is "five hundred thirty-seven billion, two hundred fifty-three million, one hundred twenty-one thousand, five hundred twenty".