242514335101521 has 32 divisors (see below), whose sum is σ = 389251511296000. Its totient is φ = 134109309715920.

The previous prime is 242514335101487. The next prime is 242514335101537. The reversal of 242514335101521 is 125101533415242.

It is not a de Polignac number, because 242514335101521 - 2³⁹ = 241964579287633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242514335101521.

It is not an unprimeable number, because it can be changed into a prime (242514335101541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3801252391 + ... + 3801316188.

It is an arithmetic number, because the mean of its divisors is an integer number (12164109728000).

Almost surely, 2^{242514335101521} is an apocalyptic number.

242514335101521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242514335101521 is a deficient number, since it is larger than the sum of its proper divisors (146737176194479).

242514335101521 is an equidigital number, since it uses as much as digits as its factorization.

242514335101521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602568634 (or 7602568620 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 242514335101521 its reverse (125101533415242), we get a palindrome (367615868516763).

The spelling of 242514335101521 in words is "two hundred forty-two trillion, five hundred fourteen billion, three hundred thirty-five million, one hundred one thousand, five hundred twenty-one".