254538101 has 2 divisors, whose sum is σ = 254538102. Its totient is φ = 254538100.

The previous prime is 254538077. The next prime is 254538103. The reversal of 254538101 is 101835452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189090001 + 65448100 = 13751^2 + 8090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-254538101 is a prime.

Together with 254538103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254538103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127269050 + 127269051.

It is an arithmetic number, because the mean of its divisors is an integer number (127269051).

Almost surely, 2^254538101 is an apocalyptic number.

It is an amenable number.

254538101 is a deficient number, since it is larger than the sum of its proper divisors (1).

254538101 is an equidigital number, since it uses as much as digits as its factorization.

254538101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 254538101 is about 15954.2502487582. The cubic root of 254538101 is about 633.7494565104.

The spelling of 254538101 in words is "two hundred fifty-four million, five hundred thirty-eight thousand, one hundred one".