10506913824969 has 9 divisors (see below), whose sum is σ = 15176667348973. Its totient is φ = 7004602733772.

The previous prime is 10506913824943. The next prime is 10506913824989. The reversal of 10506913824969 is 96942831960501.

The square root of 10506913824969 is 3241437.

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

10506913824969 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 9 + 138 + 2 + 496 + 9 = 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 10506913824969 - 2²⁷ = 10506779607241 is a prime.

It is a super-2 number, since 2×10506913824969² (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 (10506913824989) 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, 9184072 + ... + 10264550.

Almost surely, 2^{10506913824969} is an apocalyptic number.

10506913824969 is the 3241437-th square number.

10506913824969 is the 1620719-th centered octagonal number.

It is an amenable number.

10506913824969 is a deficient number, since it is larger than the sum of its proper divisors (4669753524004).

10506913824969 is an frugal number, since it uses more digits than its factorization.

10506913824969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160964 (or 1080482 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 10506913824969 in words is "ten trillion, five hundred six billion, nine hundred thirteen million, eight hundred twenty-four thousand, nine hundred sixty-nine".