248790542981 has 2 divisors, whose sum is σ = 248790542982. Its totient is φ = 248790542980.

The previous prime is 248790542893. The next prime is 248790542993. The reversal of 248790542981 is 189245097842.

248790542981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149278685956 + 99511857025 = 386366^2 + 315455^2 .

It is a cyclic number.

It is not a de Polignac number, because 248790542981 - 2¹⁴ = 248790526597 is a prime.

It is a super-2 number, since 2×248790542981² (a number of 24 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 248790542981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248790542281) by changing a digit.

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 as a sum of consecutive naturals, namely, 124395271490 + 124395271491.

It is an arithmetic number, because the mean of its divisors is an integer number (124395271491).

Almost surely, 2^248790542981 is an apocalyptic number.

It is an amenable number.

248790542981 is a deficient number, since it is larger than the sum of its proper divisors (1).

248790542981 is an equidigital number, since it uses as much as digits as its factorization.

248790542981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 248790542981 in words is "two hundred forty-eight billion, seven hundred ninety million, five hundred forty-two thousand, nine hundred eighty-one".