21133834094025 has 81 divisors (see below), whose sum is σ = 39310397480263. Its totient is φ = 11270385198000.

The previous prime is 21133834093979. The next prime is 21133834094053. The reversal of 21133834094025 is 52049043833112.

It is a happy number.

The square root of 21133834094025 is 4597155.

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

21133834094025 is a `hidden beast` number, since 211 + 3 + 3 + 8 + 3 + 409 + 4 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7608180273849 + 13525653820176 = 2758293^2 + 3677724^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 21133834094025 - 2²⁹ = 21133297223113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1861842100 + ... + 1861853450.

Almost surely, 2^{21133834094025} is an apocalyptic number.

21133834094025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21133834094025 is the 4597155-th square number.

21133834094025 is the 2298578-th centered octagonal number.

It is an amenable number.

21133834094025 is a deficient number, since it is larger than the sum of its proper divisors (18176563386238).

21133834094025 is an frugal number, since it uses more digits than its factorization.

21133834094025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 21133834094025 in words is "twenty-one trillion, one hundred thirty-three billion, eight hundred thirty-four million, ninety-four thousand, twenty-five".