248328378587129 has 2 divisors, whose sum is σ = 248328378587130. Its totient is φ = 248328378587128.

The previous prime is 248328378587083. The next prime is 248328378587137. The reversal of 248328378587129 is 921785873823842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145866368575225 + 102462010011904 = 12077515^2 + 10122352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-248328378587129 is a prime.

It is a super-2 number, since 2×248328378587129² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248328378587129.

It is not a weakly prime, because it can be changed into another prime (248328378577129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124164189293564 + 124164189293565.

It is an arithmetic number, because the mean of its divisors is an integer number (124164189293565).

Almost surely, 2^{248328378587129} is an apocalyptic number.

It is an amenable number.

248328378587129 is a deficient number, since it is larger than the sum of its proper divisors (1).

248328378587129 is an equidigital number, since it uses as much as digits as its factorization.

248328378587129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2601123840, while the sum is 77.

The spelling of 248328378587129 in words is "two hundred forty-eight trillion, three hundred twenty-eight billion, three hundred seventy-eight million, five hundred eighty-seven thousand, one hundred twenty-nine".