34225023525137 has 2 divisors, whose sum is σ = 34225023525138. Its totient is φ = 34225023525136.

The previous prime is 34225023525071. The next prime is 34225023525163. The reversal of 34225023525137 is 73152532052243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24816577677376 + 9408445847761 = 4981624^2 + 3067319^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34225023525137 is a prime.

It is a super-3 number, since 3×34225023525137³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34225023525197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17112511762568 + 17112511762569.

It is an arithmetic number, because the mean of its divisors is an integer number (17112511762569).

Almost surely, 2^{34225023525137} is an apocalyptic number.

It is an amenable number.

34225023525137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34225023525137 is an equidigital number, since it uses as much as digits as its factorization.

34225023525137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 44.

The spelling of 34225023525137 in words is "thirty-four trillion, two hundred twenty-five billion, twenty-three million, five hundred twenty-five thousand, one hundred thirty-seven".