115541323470225 has 135 divisors (see below), whose sum is σ = 227368772274721. Its totient is φ = 57993085728000.

The previous prime is 115541323470217. The next prime is 115541323470269. The reversal of 115541323470225 is 522074323145511.

The square root of 115541323470225 is 10749015.

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

115541323470225 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 413 + 2 + 3 + 4 + 7 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2702627497089 + 112838695973136 = 1643967^2 + 10622556^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 115541323470225 - 2³ = 115541323470217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 8222989450 + ... + 8223003500.

Almost surely, 2^{115541323470225} is an apocalyptic number.

115541323470225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115541323470225 is the 10749015-th square number.

115541323470225 is the 5374508-th centered octagonal number.

It is an amenable number.

115541323470225 is a deficient number, since it is larger than the sum of its proper divisors (111827448804496).

115541323470225 is an frugal number, since it uses more digits than its factorization.

115541323470225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28158 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 115541323470225 in words is "one hundred fifteen trillion, five hundred forty-one billion, three hundred twenty-three million, four hundred seventy thousand, two hundred twenty-five".