2573508575232 has 1536 divisors, whose sum is σ = 9682403040000. Its totient is φ = 671436767232.

The previous prime is 2573508575227. The next prime is 2573508575233. The reversal of 2573508575232 is 2325758053752.

2573508575232 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 508 + 57 + 52 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573508575233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28915826644 + ... + 28915826732.

Almost surely, 2^{2573508575232} 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 2573508575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841201520000).

2573508575232 is an abundant number, since it is smaller than the sum of its proper divisors (7108894464768).

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

2573508575232 is an equidigital number, since it uses as much as digits as its factorization.

2573508575232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 2573508575232 in words is "two trillion, five hundred seventy-three billion, five hundred eight million, five hundred seventy-five thousand, two hundred thirty-two".