2029812831225 has 81 divisors (see below), whose sum is σ = 3837807438543. Its totient is φ = 1025384482080.

The previous prime is 2029812831223. The next prime is 2029812831257. The reversal of 2029812831225 is 5221382189202.

The square root of 2029812831225 is 1424715.

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

2029812831225 is a `hidden beast` number, since 2 + 0 + 298 + 1 + 28 + 312 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 730732619241 + 1299080211984 = 854829^2 + 1139772^2 .

It is not a de Polignac number, because 2029812831225 - 2¹ = 2029812831223 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2029812831223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 406041276 + ... + 406046274.

Almost surely, 2^{2029812831225} is an apocalyptic number.

2029812831225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2029812831225 is the 1424715-th square number.

2029812831225 is the 712358-th centered octagonal number.

It is an amenable number.

2029812831225 is a deficient number, since it is larger than the sum of its proper divisors (1807994607318).

2029812831225 is an frugal number, since it uses more digits than its factorization.

2029812831225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2029812831225 in words is "two trillion, twenty-nine billion, eight hundred twelve million, eight hundred thirty-one thousand, two hundred twenty-five".