12518583261921 has 225 divisors, whose sum is σ = 21801947285105. Its totient is φ = 7187703308280.

The previous prime is 12518583261893. The next prime is 12518583261931. The reversal of 12518583261921 is 12916238581521.

It is a happy number.

The square root of 12518583261921 is 3538161.

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

12518583261921 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 8 + 583 + 26 + 19 + 21 = 666.

It is not a de Polignac number, because 12518583261921 - 2⁵ = 12518583261889 is a prime.

It is a super-2 number, since 2×12518583261921² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (2073600) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (12518583261931) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 658872803250 + ... + 658872803268.

Almost surely, 2^{12518583261921} is an apocalyptic number.

12518583261921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12518583261921 is the 3538161-st square number.

12518583261921 is the 1769081-st centered octagonal number.

It is an amenable number.

12518583261921 is a deficient number, since it is larger than the sum of its proper divisors (9283364023184).

12518583261921 is an frugal number, since it uses more digits than its factorization.

12518583261921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 33 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 12518583261921 in words is "twelve trillion, five hundred eighteen billion, five hundred eighty-three million, two hundred sixty-one thousand, nine hundred twenty-one".