2518723608101 has 2 divisors, whose sum is σ = 2518723608102. Its totient is φ = 2518723608100.

The previous prime is 2518723608041. The next prime is 2518723608109. The reversal of 2518723608101 is 1018063278152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2317171995076 + 201551613025 = 1522226^2 + 448945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2518723608101 - 2²² = 2518719413797 is a prime.

It is a super-2 number, since 2×2518723608101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2518723608109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1259361804050 + 1259361804051.

It is an arithmetic number, because the mean of its divisors is an integer number (1259361804051).

Almost surely, 2^{2518723608101} is an apocalyptic number.

It is an amenable number.

2518723608101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2518723608101 is an equidigital number, since it uses as much as digits as its factorization.

2518723608101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 2518723608101 in words is "two trillion, five hundred eighteen billion, seven hundred twenty-three million, six hundred eight thousand, one hundred one".