34550325264325 has 48 divisors (see below), whose sum is σ = 46897544521296. Its totient is φ = 25094104012800.

The previous prime is 34550325264313. The next prime is 34550325264331. The reversal of 34550325264325 is 52346252305543.

It can be written as a sum of positive squares in 24 ways, for example, as 33178913292996 + 1371411971329 = 5760114^2 + 1171073^2 .

It is not a de Polignac number, because 34550325264325 - 2²³ = 34550316875717 is a prime.

It is a super-2 number, since 2×34550325264325² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337628067 + ... + 337730383.

It is an arithmetic number, because the mean of its divisors is an integer number (977032177527).

Almost surely, 2^{34550325264325} is an apocalyptic number.

It is an amenable number.

34550325264325 is a deficient number, since it is larger than the sum of its proper divisors (12347219256971).

34550325264325 is a wasteful number, since it uses less digits than its factorization.

34550325264325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119434 (or 119429 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 49.

Adding to 34550325264325 its reverse (52346252305543), we get a palindrome (86896577569868).

The spelling of 34550325264325 in words is "thirty-four trillion, five hundred fifty billion, three hundred twenty-five million, two hundred sixty-four thousand, three hundred twenty-five".