34003341011025 has 72 divisors (see below), whose sum is σ = 61007291499960. Its totient is φ = 18104308992000.

The previous prime is 34003341010993. The next prime is 34003341011027. The reversal of 34003341011025 is 52011014330043.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5299420390209 + 28703920620816 = 2302047^2 + 5357604^2 .

It is not a de Polignac number, because 34003341011025 - 2⁵ = 34003341010993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34003341011025.

It is not an unprimeable number, because it can be changed into a prime (34003341011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393236295 + ... + 393322755.

It is an arithmetic number, because the mean of its divisors is an integer number (847323493055).

Almost surely, 2^{34003341011025} is an apocalyptic number.

It is an amenable number.

34003341011025 is a deficient number, since it is larger than the sum of its proper divisors (27003950488935).

34003341011025 is a wasteful number, since it uses less digits than its factorization.

34003341011025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89427 (or 89419 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34003341011025 its reverse (52011014330043), we get a palindrome (86014355341068).

The spelling of 34003341011025 in words is "thirty-four trillion, three billion, three hundred forty-one million, eleven thousand, twenty-five".