251542506041 has 2 divisors, whose sum is σ = 251542506042. Its totient is φ = 251542506040.

The previous prime is 251542506023. The next prime is 251542506053. The reversal of 251542506041 is 140605245152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154924108816 + 96618397225 = 393604^2 + 310835^2 .

It is a cyclic number.

It is not a de Polignac number, because 251542506041 - 2²² = 251538311737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251542505992 and 251542506010.

It is not a weakly prime, because it can be changed into another prime (251542506001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125771253020 + 125771253021.

It is an arithmetic number, because the mean of its divisors is an integer number (125771253021).

Almost surely, 2^251542506041 is an apocalyptic number.

It is an amenable number.

251542506041 is a deficient number, since it is larger than the sum of its proper divisors (1).

251542506041 is an equidigital number, since it uses as much as digits as its factorization.

251542506041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 251542506041 in words is "two hundred fifty-one billion, five hundred forty-two million, five hundred six thousand, forty-one".