33890969025 has 45 divisors (see below), whose sum is σ = 62793139123. Its totient is φ = 18070765200.

The previous prime is 33890969017. The next prime is 33890969033. The reversal of 33890969025 is 52096909833.

The square root of 33890969025 is 184095.

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

It is an interprime number because it is at equal distance from previous prime (33890969017) and next prime (33890969033).

It can be written as a sum of positive squares in only one way, i.e., 12200748849 + 21690220176 = 110457^2 + 147276^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 33890969025 - 2³ = 33890969017 is a prime.

It is a super-2 number, since 2×33890969025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8282230 + ... + 8286320.

Almost surely, 2^33890969025 is an apocalyptic number.

33890969025 is the 184095-th square number.

33890969025 is the 92048-th centered octagonal number.

It is an amenable number.

33890969025 is a deficient number, since it is larger than the sum of its proper divisors (28902170098).

33890969025 is an frugal number, since it uses more digits than its factorization.

33890969025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 33890969025 in words is "thirty-three billion, eight hundred ninety million, nine hundred sixty-nine thousand, twenty-five".