248180383434521 has 2 divisors, whose sum is σ = 248180383434522. Its totient is φ = 248180383434520.

The previous prime is 248180383434509. The next prime is 248180383434523. The reversal of 248180383434521 is 125434383081842.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176380604858896 + 71799778575625 = 13280836^2 + 8473475^2 .

It is a cyclic number.

It is not a de Polignac number, because 248180383434521 - 2¹⁴ = 248180383418137 is a prime.

Together with 248180383434523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248180383434523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124090191717260 + 124090191717261.

It is an arithmetic number, because the mean of its divisors is an integer number (124090191717261).

Almost surely, 2^{248180383434521} is an apocalyptic number.

It is an amenable number.

248180383434521 is a deficient number, since it is larger than the sum of its proper divisors (1).

248180383434521 is an equidigital number, since it uses as much as digits as its factorization.

248180383434521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17694720, while the sum is 56.

The spelling of 248180383434521 in words is "two hundred forty-eight trillion, one hundred eighty billion, three hundred eighty-three million, four hundred thirty-four thousand, five hundred twenty-one".