1020752565413 has 16 divisors (see below), whose sum is σ = 1167527773440. Its totient is φ = 874216022400.

The previous prime is 1020752565409. The next prime is 1020752565421. The reversal of 1020752565413 is 3145652570201.

It is not a de Polignac number, because 1020752565413 - 2² = 1020752565409 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020752565403) 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 15 ways as a sum of consecutive naturals, for example, 49731593 + ... + 49752113.

It is an arithmetic number, because the mean of its divisors is an integer number (72970485840).

Almost surely, 2^{1020752565413} is an apocalyptic number.

It is an amenable number.

1020752565413 is a deficient number, since it is larger than the sum of its proper divisors (146775208027).

1020752565413 is a wasteful number, since it uses less digits than its factorization.

1020752565413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25988.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 1020752565413 in words is "one trillion, twenty billion, seven hundred fifty-two million, five hundred sixty-five thousand, four hundred thirteen".