33432738231025 has 27 divisors (see below), whose sum is σ = 48225311061771. Its totient is φ = 22925167445040.

The previous prime is 33432738230987. The next prime is 33432738231043. The reversal of 33432738231025 is 52013283723433.

The square root of 33432738231025 is 5782105.

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

It can be written as a sum of positive squares in only one way, i.e., 12035785763169 + 21396952467856 = 3469263^2 + 4625684^2 .

It is not a de Polignac number, because 33432738231025 - 2³⁵ = 33398378492657 is a prime.

It is a super-2 number, since 2×33432738231025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202291074 + ... + 202456276.

Almost surely, 2^{33432738231025} is an apocalyptic number.

33432738231025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33432738231025 is the 5782105-th square number.

33432738231025 is the 2891053-rd centered octagonal number.

It is an amenable number.

33432738231025 is a deficient number, since it is larger than the sum of its proper divisors (14792572830746).

33432738231025 is an frugal number, since it uses more digits than its factorization.

33432738231025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330430 (or 165215 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 33432738231025 in words is "thirty-three trillion, four hundred thirty-two billion, seven hundred thirty-eight million, two hundred thirty-one thousand, twenty-five".