33821377828225 has 243 divisors, whose sum is σ = 51098286783537. Its totient is φ = 22189037045760.

The previous prime is 33821377828211. The next prime is 33821377828229. The reversal of 33821377828225 is 52282877312833.

The square root of 33821377828225 is 5815615.

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

It can be written as a sum of positive squares in 40 ways, for example, as 23216429265649 + 10604948562576 = 4818343^2 + 3256524^2 .

It is not a de Polignac number, because 33821377828225 - 2⁵ = 33821377828193 is a prime.

It is a super-2 number, since 2×33821377828225² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33821377828229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 122098836787 + ... + 122098837063.

Almost surely, 2^{33821377828225} is an apocalyptic number.

33821377828225 is the 5815615-th square number.

33821377828225 is the 2907808-th centered octagonal number.

It is an amenable number.

33821377828225 is a deficient number, since it is larger than the sum of its proper divisors (17276908955312).

33821377828225 is a wasteful number, since it uses less digits than its factorization.

33821377828225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 61.

The spelling of 33821377828225 in words is "thirty-three trillion, eight hundred twenty-one billion, three hundred seventy-seven million, eight hundred twenty-eight thousand, two hundred twenty-five".