385777253 has 2 divisors, whose sum is σ = 385777254. Its totient is φ = 385777252.

The previous prime is 385777201. The next prime is 385777283. The reversal of 385777253 is 352777583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303003649 + 82773604 = 17407^2 + 9098^2 .

It is an emirp because it is prime and its reverse (352777583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385777253 - 2¹⁰ = 385776229 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 385777198 and 385777207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385777283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192888626 + 192888627.

It is an arithmetic number, because the mean of its divisors is an integer number (192888627).

Almost surely, 2^385777253 is an apocalyptic number.

It is an amenable number.

385777253 is a deficient number, since it is larger than the sum of its proper divisors (1).

385777253 is an equidigital number, since it uses as much as digits as its factorization.

385777253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1234800, while the sum is 47.

The square root of 385777253 is about 19641.2131244483. The cubic root of 385777253 is about 727.9678598750.

The spelling of 385777253 in words is "three hundred eighty-five million, seven hundred seventy-seven thousand, two hundred fifty-three".