34125144250441 has 2 divisors, whose sum is σ = 34125144250442. Its totient is φ = 34125144250440.

The previous prime is 34125144250427. The next prime is 34125144250469. The reversal of 34125144250441 is 14405244152143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32453758112400 + 1671386138041 = 5696820^2 + 1292821^2 .

It is a cyclic number.

It is not a de Polignac number, because 34125144250441 - 2⁹ = 34125144249929 is a prime.

It is a super-2 number, since 2×34125144250441² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34125144250394 and 34125144250403.

It is not a weakly prime, because it can be changed into another prime (34125144250481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17062572125220 + 17062572125221.

It is an arithmetic number, because the mean of its divisors is an integer number (17062572125221).

Almost surely, 2^{34125144250441} is an apocalyptic number.

It is an amenable number.

34125144250441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34125144250441 is an equidigital number, since it uses as much as digits as its factorization.

34125144250441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 34125144250441 in words is "thirty-four trillion, one hundred twenty-five billion, one hundred forty-four million, two hundred fifty thousand, four hundred forty-one".