10330020981225 has 405 divisors, whose sum is σ = 21676480817607. Its totient is φ = 4859620920000.

The previous prime is 10330020981199. The next prime is 10330020981233. The reversal of 10330020981225 is 52218902003301.

The square root of 10330020981225 is 3214035.

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

10330020981225 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 20 + 9 + 81 + 225 = 666.

10330020981225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3718807553241 + 6611213427984 = 1928421^2 + 2571228^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 10330020981225 - 2¹³ = 10330020973033 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10330020981225.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 68410734900 + ... + 68410735050.

Almost surely, 2^{10330020981225} is an apocalyptic number.

10330020981225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10330020981225 is the 3214035-th square number.

10330020981225 is the 1607018-th centered octagonal number.

It is an amenable number.

10330020981225 is an abundant number, since it is smaller than the sum of its proper divisors (11346459836382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10330020981225 is an equidigital number, since it uses as much as digits as its factorization.

10330020981225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 10330020981225 by its sum of digits (36), we get a square (371880755324100 = 19284210²).

Adding to 10330020981225 its reverse (52218902003301), we get a palindrome (62548922984526).

The spelling of 10330020981225 in words is "ten trillion, three hundred thirty billion, twenty million, nine hundred eighty-one thousand, two hundred twenty-five".