1252820625 has 80 divisors (see below), whose sum is σ = 2431921536. Its totient is φ = 561600000.

The previous prime is 1252820587. The next prime is 1252820633. The reversal of 1252820625 is 5260282521.

It is a happy number.

It is not a de Polignac number, because 1252820625 - 2¹² = 1252816529 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 694725 + ... + 696525.

Almost surely, 2^1252820625 is an apocalyptic number.

1252820625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252820625 is a deficient number, since it is larger than the sum of its proper divisors (1179100911).

1252820625 is an equidigital number, since it uses as much as digits as its factorization.

1252820625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1252820625 is about 35395.2062432189. The cubic root of 1252820625 is about 1078.0269833177.

It can be divided in two parts, 12528 and 20625, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 1252820625 in words is "one billion, two hundred fifty-two million, eight hundred twenty thousand, six hundred twenty-five".