10523490584049 has 9 divisors (see below), whose sum is σ = 15200611567609. Its totient is φ = 7015653901380.

The previous prime is 10523490583999. The next prime is 10523490584051. The reversal of 10523490584049 is 94048509432501.

It is a happy number.

The square root of 10523490584049 is 3243993.

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

10523490584049 is a `hidden beast` number, since 1 + 0 + 5 + 23 + 490 + 58 + 40 + 49 = 666.

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

It is not a de Polignac number, because 10523490584049 - 2²³ = 10523482195441 is a prime.

It is a super-2 number, since 2×10523490584049² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10523490583986 and 10523490584004.

It is not an unprimeable number, because it can be changed into a prime (10523490580049) 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, 9191314 + ... + 10272644.

Almost surely, 2^{10523490584049} is an apocalyptic number.

10523490584049 is the 3243993-rd square number.

10523490584049 is the 1621997-th centered octagonal number.

It is an amenable number.

10523490584049 is a deficient number, since it is larger than the sum of its proper divisors (4677120983560).

10523490584049 is an frugal number, since it uses more digits than its factorization.

10523490584049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162668 (or 1081334 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 10523490584049 in words is "ten trillion, five hundred twenty-three billion, four hundred ninety million, five hundred eighty-four thousand, forty-nine".