1290753125 has 24 divisors (see below), whose sum is σ = 1698328800. Its totient is φ = 978210000.

The previous prime is 1290753097. The next prime is 1290753131. The reversal of 1290753125 is 5213570921.

It is not a de Polignac number, because 1290753125 - 2¹⁰ = 1290752101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48506 + ... + 70244.

It is an arithmetic number, because the mean of its divisors is an integer number (70763700).

Almost surely, 2^1290753125 is an apocalyptic number.

It is an amenable number.

1290753125 is a deficient number, since it is larger than the sum of its proper divisors (407575675).

1290753125 is an frugal number, since it uses more digits than its factorization.

1290753125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21783 (or 21763 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 1290753125 is about 35927.0528293096. The cubic root of 1290753125 is about 1088.7990377852.

The spelling of 1290753125 in words is "one billion, two hundred ninety million, seven hundred fifty-three thousand, one hundred twenty-five".