242213710335625 has 120 divisors (see below), whose sum is σ = 364785341481000. Its totient is φ = 160116219648000.

The previous prime is 242213710335581. The next prime is 242213710335661. The reversal of 242213710335625 is 526533017312242.

It can be written as a sum of positive squares in 20 ways, for example, as 235886010333561 + 6327700002064 = 15358581^2 + 2515492^2 .

It is not a de Polignac number, because 242213710335625 - 2⁴³ = 233417617313417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 579736801 + ... + 580154449.

It is an arithmetic number, because the mean of its divisors is an integer number (3039877845675).

Almost surely, 2^{242213710335625} is an apocalyptic number.

242213710335625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242213710335625 is a deficient number, since it is larger than the sum of its proper divisors (122571631145375).

242213710335625 is an equidigital number, since it uses as much as digits as its factorization.

242213710335625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418365 (or 418343 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

Adding to 242213710335625 its reverse (526533017312242), we get a palindrome (768746727647867).

The spelling of 242213710335625 in words is "two hundred forty-two trillion, two hundred thirteen billion, seven hundred ten million, three hundred thirty-five thousand, six hundred twenty-five".