13542821406225 has 72 divisors (see below), whose sum is σ = 24857397196632. Its totient is φ = 7044098457600.

The previous prime is 13542821406217. The next prime is 13542821406239. The reversal of 13542821406225 is 52260412824531.

13542821406225 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 8 + 2 + 14 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2805219664641 + 10737601741584 = 1674879^2 + 3276828^2 .

It is not a de Polignac number, because 13542821406225 - 2³ = 13542821406217 is a prime.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 25129797 + ... + 25663053.

It is an arithmetic number, because the mean of its divisors is an integer number (345241627731).

Almost surely, 2^{13542821406225} is an apocalyptic number.

13542821406225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13542821406225 is a deficient number, since it is larger than the sum of its proper divisors (11314575790407).

13542821406225 is a wasteful number, since it uses less digits than its factorization.

13542821406225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536067 (or 536059 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 13542821406225 in words is "thirteen trillion, five hundred forty-two billion, eight hundred twenty-one million, four hundred six thousand, two hundred twenty-five".