33865125390625 has 27 divisors (see below), whose sum is σ = 42335931937273. Its totient is φ = 27089190625000.

The previous prime is 33865125390541. The next prime is 33865125390653. The reversal of 33865125390625 is 52609352156833.

The square root of 33865125390625 is 5819375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24077638168609 + 9787487222016 = 4906897^2 + 3128496^2 .

It is not a de Polignac number, because 33865125390625 - 2¹³ = 33865125382433 is a prime.

It is a super-2 number, since 2×33865125390625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33865125390625.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3637104720 + ... + 3637114030.

Almost surely, 2^{33865125390625} is an apocalyptic number.

33865125390625 is the 5819375-th square number.

33865125390625 is the 2909688-th centered octagonal number.

It is an amenable number.

33865125390625 is a deficient number, since it is larger than the sum of its proper divisors (8470806546648).

33865125390625 is an frugal number, since it uses more digits than its factorization.

33865125390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18662 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 58.

The spelling of 33865125390625 in words is "thirty-three trillion, eight hundred sixty-five billion, one hundred twenty-five million, three hundred ninety thousand, six hundred twenty-five".