1225052829 has 160 divisors (see below), whose sum is σ = 2546691840. Its totient is φ = 566092800.

The previous prime is 1225052821. The next prime is 1225052833. The reversal of 1225052829 is 9282505221.

1225052829 is a `hidden beast` number, since 122 + 5 + 0 + 528 + 2 + 9 = 666.

It is not a de Polignac number, because 1225052829 - 2³ = 1225052821 is a prime.

Together with 1321639011 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 1225052793 and 1225052802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225052821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2351089 + ... + 2351609.

It is an arithmetic number, because the mean of its divisors is an integer number (15916824).

Almost surely, 2^1225052829 is an apocalyptic number.

It is an amenable number.

1225052829 is an abundant number, since it is smaller than the sum of its proper divisors (1321639011).

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

1225052829 is a wasteful number, since it uses less digits than its factorization.

1225052829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1225052829 is about 35000.7546918634. The cubic root of 1225052829 is about 1070.0028616688.

The spelling of 1225052829 in words is "one billion, two hundred twenty-five million, fifty-two thousand, eight hundred twenty-nine".