25212549864100 has 27 divisors (see below), whose sum is σ = 54711342165571. Its totient is φ = 10084999860800.

The previous prime is 25212549864059. The next prime is 25212549864101. The reversal of 25212549864100 is 146894521252.

The square root of 25212549864100 is 5021210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12204640068196 + 13007909795904 = 3493514^2 + 3606648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25212549864101) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 49961040 + ... + 50463160.

Almost surely, 2^{25212549864100} is an apocalyptic number.

25212549864100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25212549864100 is the 5021210-th square number.

It is an amenable number.

25212549864100 is an abundant number, since it is smaller than the sum of its proper divisors (29498792301471).

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

25212549864100 is an frugal number, since it uses more digits than its factorization.

25212549864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004256 (or 502128 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 25212549864100 in words is "twenty-five trillion, two hundred twelve billion, five hundred forty-nine million, eight hundred sixty-four thousand, one hundred".