25697701104100 has 27 divisors (see below), whose sum is σ = 55764121399707. Its totient is φ = 10279060164480.

The previous prime is 25697701104079. The next prime is 25697701104107. The reversal of 25697701104100 is 140110779652.

It is a happy number.

The square root of 25697701104100 is 5069290.

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

25697701104100 is digitally balanced in base 5, 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 4 ways, for example, as 1126327973796 + 24571373130304 = 1061286^2 + 4956952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25697701104107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50439436 + ... + 50946364.

Almost surely, 2^{25697701104100} is an apocalyptic number.

25697701104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25697701104100 is the 5069290-th square number.

It is an amenable number.

25697701104100 is an abundant number, since it is smaller than the sum of its proper divisors (30066420295607).

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

25697701104100 is an frugal number, since it uses more digits than its factorization.

25697701104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013872 (or 506936 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 25697701104100 in words is "twenty-five trillion, six hundred ninety-seven billion, seven hundred one million, one hundred four thousand, one hundred".