1753125313 has 16 divisors (see below), whose sum is σ = 1830548160. Its totient is φ = 1676920000.

The previous prime is 1753125277. The next prime is 1753125317. The reversal of 1753125313 is 3135213571.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1753125313 - 2¹⁷ = 1752994241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1753125317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651803 + ... + 1652863.

It is an arithmetic number, because the mean of its divisors is an integer number (114409260).

Almost surely, 2^1753125313 is an apocalyptic number.

It is an amenable number.

1753125313 is a deficient number, since it is larger than the sum of its proper divisors (77422847).

1753125313 is a wasteful number, since it uses less digits than its factorization.

1753125313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568.

The product of its digits is 9450, while the sum is 31.

The square root of 1753125313 is about 41870.3392988402. The cubic root of 1753125313 is about 1205.7880815490.

Adding to 1753125313 its reverse (3135213571), we get a palindrome (4888338884).

It can be divided in two parts, 175312 and 5313, that added together give a square (180625 = 425²).

The spelling of 1753125313 in words is "one billion, seven hundred fifty-three million, one hundred twenty-five thousand, three hundred thirteen".