25542511524552 has 128 divisors (see below), whose sum is σ = 70068075356160. Its totient is φ = 7695061893120.

The previous prime is 25542511524457. The next prime is 25542511524557.

25542511524552 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25542511524557) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43449928 + ... + 44033864.

It is an arithmetic number, because the mean of its divisors is an integer number (547406838720).

Almost surely, 2^{25542511524552} is an apocalyptic number.

25542511524552 is a gapful number since it is divisible by the number (22) 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 25542511524552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35034037678080).

25542511524552 is an abundant number, since it is smaller than the sum of its proper divisors (44525563831608).

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

25542511524552 is a wasteful number, since it uses less digits than its factorization.

25542511524552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584923 (or 584919 counting only the distinct ones).

The product of its digits is 4000000, while the sum is 48.

The spelling of 25542511524552 in words is "twenty-five trillion, five hundred forty-two billion, five hundred eleven million, five hundred twenty-four thousand, five hundred fifty-two".