10513572791296 has 99 divisors (see below), whose sum is σ = 22185408441261. Its totient is φ = 4979179597824.

The previous prime is 10513572791291. The next prime is 10513572791299. The reversal of 10513572791296 is 69219727531501.

The square root of 10513572791296 is 3242464.

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

It can be written as a sum of positive squares in only one way, i.e., 10482053760000 + 31519031296 = 3237600^2 + 177536^2 .

It is a super-2 number, since 2×10513572791296² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10513572791296.

It is not an unprimeable number, because it can be changed into a prime (10513572791291) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1971415446 + ... + 1971420778.

Almost surely, 2^{10513572791296} is an apocalyptic number.

10513572791296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10513572791296 is the 3242464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513572791296

10513572791296 is an abundant number, since it is smaller than the sum of its proper divisors (11671835649965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10513572791296 is an frugal number, since it uses more digits than its factorization.

10513572791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 58.

The spelling of 10513572791296 in words is "ten trillion, five hundred thirteen billion, five hundred seventy-two million, seven hundred ninety-one thousand, two hundred ninety-six".