1252800129 has 16 divisors (see below), whose sum is σ = 1913709440. Its totient is φ = 714130560.

The previous prime is 1252800121. The next prime is 1252800161. The reversal of 1252800129 is 9210082521.

It is not a de Polignac number, because 1252800129 - 2³ = 1252800121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1252800096 and 1252800105.

It is not an unprimeable number, because it can be changed into a prime (1252800121) 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 15 ways as a sum of consecutive naturals, for example, 64342 + ... + 81519.

It is an arithmetic number, because the mean of its divisors is an integer number (119606840).

Almost surely, 2^1252800129 is an apocalyptic number.

It is an amenable number.

1252800129 is a deficient number, since it is larger than the sum of its proper divisors (660909311).

1252800129 is a wasteful number, since it uses less digits than its factorization.

1252800129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146280.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1252800129 is about 35394.9167113019. The cubic root of 1252800129 is about 1078.0211044869.

The spelling of 1252800129 in words is "one billion, two hundred fifty-two million, eight hundred thousand, one hundred twenty-nine".