1312753653 has 6 divisors (see below), whose sum is σ = 1896199734. Its totient is φ = 875169096.

The previous prime is 1312753639. The next prime is 1312753667. The reversal of 1312753653 is 3563572131.

It is an interprime number because it is at equal distance from previous prime (1312753639) and next prime (1312753667).

It can be written as a sum of positive squares in only one way, i.e., 1212293124 + 100460529 = 34818^2 + 10023^2 .

It is not a de Polignac number, because 1312753653 - 2¹⁴ = 1312737269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312753853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72930750 + ... + 72930767.

It is an arithmetic number, because the mean of its divisors is an integer number (316033289).

Almost surely, 2^1312753653 is an apocalyptic number.

It is an amenable number.

1312753653 is a deficient number, since it is larger than the sum of its proper divisors (583446081).

1312753653 is a wasteful number, since it uses less digits than its factorization.

1312753653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145861523 (or 145861520 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 1312753653 is about 36231.9424403385. The cubic root of 1312753653 is about 1094.9503123760.

The spelling of 1312753653 in words is "one billion, three hundred twelve million, seven hundred fifty-three thousand, six hundred fifty-three".