1252304135505 has 48 divisors (see below), whose sum is σ = 2225109715920. Its totient is φ = 651164006400.

The previous prime is 1252304135473. The next prime is 1252304135513. The reversal of 1252304135505 is 5055314032521.

1252304135505 is a `hidden beast` number, since 1 + 2 + 5 + 230 + 413 + 5 + 5 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24436255041 + 1227867880464 = 156321^2 + 1108092^2 .

It is not a de Polignac number, because 1252304135505 - 2⁵ = 1252304135473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1252304135505.

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 47 ways as a sum of consecutive naturals, for example, 2503291 + ... + 2961599.

It is an arithmetic number, because the mean of its divisors is an integer number (46356452415).

Almost surely, 2^{1252304135505} is an apocalyptic number.

1252304135505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252304135505 is a deficient number, since it is larger than the sum of its proper divisors (972805580415).

1252304135505 is a wasteful number, since it uses less digits than its factorization.

1252304135505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459842 (or 459839 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1252304135505 in words is "one trillion, two hundred fifty-two billion, three hundred four million, one hundred thirty-five thousand, five hundred five".