1252117728 has 72 divisors (see below), whose sum is σ = 3770178048. Its totient is φ = 392819712.

The previous prime is 1252117693. The next prime is 1252117729. The reversal of 1252117728 is 8277112521.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1252117692 and 1252117701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252117729) 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 11 ways as a sum of consecutive naturals, for example, 122976 + ... + 132767.

It is an arithmetic number, because the mean of its divisors is an integer number (52363584).

Almost surely, 2^1252117728 is an apocalyptic number.

1252117728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1252117728 is an abundant number, since it is smaller than the sum of its proper divisors (2518060320).

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

1252117728 is a wasteful number, since it uses less digits than its factorization.

1252117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255776 (or 255765 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 1252117728 is about 35385.2755818010. The cubic root of 1252117728 is about 1077.8253360182.

The spelling of 1252117728 in words is "one billion, two hundred fifty-two million, one hundred seventeen thousand, seven hundred twenty-eight".