10053852149961 has 15 divisors (see below), whose sum is σ = 15018760038711. Its totient is φ = 6702549075288.

The previous prime is 10053852149933. The next prime is 10053852149963. The reversal of 10053852149961 is 16994125835001.

The square root of 10053852149961 is 3170781.

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

10053852149961 is a `hidden beast` number, since 1 + 0 + 0 + 53 + 8 + 521 + 4 + 9 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8081119538361 + 1972732611600 = 2842731^2 + 1404540^2 .

It is not a de Polignac number, because 10053852149961 - 2⁹ = 10053852149449 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10053852149898 and 10053852149907.

It is not an unprimeable number, because it can be changed into a prime (10053852149963) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28360875 + ... + 28713183.

Almost surely, 2^{10053852149961} is an apocalyptic number.

10053852149961 is the 3170781-st square number.

10053852149961 is the 1585391-st centered octagonal number.

It is an amenable number.

10053852149961 is a deficient number, since it is larger than the sum of its proper divisors (4964907888750).

10053852149961 is an frugal number, since it uses more digits than its factorization.

10053852149961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704630 (or 352312 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10053852149961 in words is "ten trillion, fifty-three billion, eight hundred fifty-two million, one hundred forty-nine thousand, nine hundred sixty-one".