10523607368121 has 9 divisors (see below), whose sum is σ = 15200780255791. Its totient is φ = 7015731757392.

The previous prime is 10523607368089. The next prime is 10523607368137. The reversal of 10523607368121 is 12186370632501.

It is a happy number.

The square root of 10523607368121 is 3244011.

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

10523607368121 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 607 + 36 + 8 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9286921028025 + 1236686340096 = 3047445^2 + 1112064^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10523607368121 - 2⁵ = 10523607368089 is a prime.

It is a super-2 number, since 2×10523607368121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10523607368321) 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, 9191365 + ... + 10272701.

Almost surely, 2^{10523607368121} is an apocalyptic number.

10523607368121 is the 3244011-st square number.

10523607368121 is the 1622006-th centered octagonal number.

It is an amenable number.

10523607368121 is a deficient number, since it is larger than the sum of its proper divisors (4677172887670).

10523607368121 is an frugal number, since it uses more digits than its factorization.

10523607368121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162680 (or 1081340 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10523607368121 in words is "ten trillion, five hundred twenty-three billion, six hundred seven million, three hundred sixty-eight thousand, one hundred twenty-one".