254552072765201 has 2 divisors, whose sum is σ = 254552072765202. Its totient is φ = 254552072765200.

The previous prime is 254552072765117. The next prime is 254552072765219. The reversal of 254552072765201 is 102567270255452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171527610891025 + 83024461874176 = 13096855^2 + 9111776^2 .

It is a cyclic number.

It is not a de Polignac number, because 254552072765201 - 2³⁴ = 254534892896017 is a prime.

It is not a weakly prime, because it can be changed into another prime (254552072761201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127276036382600 + 127276036382601.

It is an arithmetic number, because the mean of its divisors is an integer number (127276036382601).

Almost surely, 2^{254552072765201} is an apocalyptic number.

It is an amenable number.

254552072765201 is a deficient number, since it is larger than the sum of its proper divisors (1).

254552072765201 is an equidigital number, since it uses as much as digits as its factorization.

254552072765201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760000, while the sum is 53.

The spelling of 254552072765201 in words is "two hundred fifty-four trillion, five hundred fifty-two billion, seventy-two million, seven hundred sixty-five thousand, two hundred one".