10363519054564 has 27 divisors (see below), whose sum is σ = 19638720606267. Its totient is φ = 4783124009664.

The previous prime is 10363519054561. The next prime is 10363519054627. The reversal of 10363519054564 is 46545091536301.

It is a happy number.

The square root of 10363519054564 is 3219242.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8022251840164 + 2341267214400 = 2832358^2 + 1530120^2 .

It is a super-3 number, since 3×10363519054564³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10363519054561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83638384 + ... + 83762200.

Almost surely, 2^{10363519054564} is an apocalyptic number.

10363519054564 is the 3219242-nd square number.

It is an amenable number.

10363519054564 is a deficient number, since it is larger than the sum of its proper divisors (9275201551703).

10363519054564 is an frugal number, since it uses more digits than its factorization.

10363519054564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247664 (or 123832 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 52.

The spelling of 10363519054564 in words is "ten trillion, three hundred sixty-three billion, five hundred nineteen million, fifty-four thousand, five hundred sixty-four".