2548524888100 has 81 divisors (see below), whose sum is σ = 5560567425777. Its totient is φ = 1013860834080.

The previous prime is 2548524888059. The next prime is 2548524888113. The reversal of 2548524888100 is 18884258452.

The square root of 2548524888100 is 1596410.

It is a perfect power (a square), and thus also a powerful number.

2548524888100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 917468959716 + 1631055928384 = 957846^2 + 1277128^2 .

It is a super-2 number, since 2×2548524888100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4198557997 + ... + 4198558603.

Almost surely, 2^{2548524888100} is an apocalyptic number.

2548524888100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2548524888100 is the 1596410-th square number.

It is an amenable number.

2548524888100 is an abundant number, since it is smaller than the sum of its proper divisors (3012042537677).

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

2548524888100 is an frugal number, since it uses more digits than its factorization.

2548524888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 55.

The spelling of 2548524888100 in words is "two trillion, five hundred forty-eight billion, five hundred twenty-four million, eight hundred eighty-eight thousand, one hundred".