249072951041 has 2 divisors, whose sum is σ = 249072951042. Its totient is φ = 249072951040.

The previous prime is 249072951011. The next prime is 249072951187. The reversal of 249072951041 is 140159270942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184109646400 + 64963304641 = 429080^2 + 254879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-249072951041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249072950983 and 249072951001.

It is not a weakly prime, because it can be changed into another prime (249072951011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124536475520 + 124536475521.

It is an arithmetic number, because the mean of its divisors is an integer number (124536475521).

Almost surely, 2^249072951041 is an apocalyptic number.

It is an amenable number.

249072951041 is a deficient number, since it is larger than the sum of its proper divisors (1).

249072951041 is an equidigital number, since it uses as much as digits as its factorization.

249072951041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 249072951041 in words is "two hundred forty-nine billion, seventy-two million, nine hundred fifty-one thousand, forty-one".