251315122141 has 2 divisors, whose sum is σ = 251315122142. Its totient is φ = 251315122140.

The previous prime is 251315122099. The next prime is 251315122151. The reversal of 251315122141 is 141221513152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151654946041 + 99660176100 = 389429^2 + 315690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251315122141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251315122151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125657561070 + 125657561071.

It is an arithmetic number, because the mean of its divisors is an integer number (125657561071).

Almost surely, 2^251315122141 is an apocalyptic number.

It is an amenable number.

251315122141 is a deficient number, since it is larger than the sum of its proper divisors (1).

251315122141 is an equidigital number, since it uses as much as digits as its factorization.

251315122141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2400, while the sum is 28.

Adding to 251315122141 its reverse (141221513152), we get a palindrome (392536635293).

The spelling of 251315122141 in words is "two hundred fifty-one billion, three hundred fifteen million, one hundred twenty-two thousand, one hundred forty-one".