10052996057316 has 135 divisors (see below), whose sum is σ = 26408099263161. Its totient is φ = 3334809367296.

The previous prime is 10052996057281. The next prime is 10052996057317. The reversal of 10052996057316 is 61375069925001.

The square root of 10052996057316 is 3170646.

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

10052996057316 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 9 + 9 + 60 + 573 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4084238902500 + 5968757154816 = 2020950^2 + 2443104^2 .

It is a super-2 number, since 2×10052996057316² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10052996057317) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20146284435 + ... + 20146284933.

Almost surely, 2^{10052996057316} is an apocalyptic number.

10052996057316 is the 3170646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10052996057316

10052996057316 is an abundant number, since it is smaller than the sum of its proper divisors (16355103205845).

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

10052996057316 is an frugal number, since it uses more digits than its factorization.

10052996057316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 10052996057316 in words is "ten trillion, fifty-two billion, nine hundred ninety-six million, fifty-seven thousand, three hundred sixteen".