212305501031553 has 24 divisors (see below), whose sum is σ = 325165730199336. Its totient is φ = 133021264320000.

The previous prime is 212305501031531. The next prime is 212305501031683. The reversal of 212305501031553 is 355130105503212.

212305501031553 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 550 + 10 + 3 + 15 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107365821615504 + 104939679416049 = 10361748^2 + 10244007^2 .

It is not a de Polignac number, because 212305501031553 - 2⁸ = 212305501031297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212305501032553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989634298 + ... + 989848803.

It is an arithmetic number, because the mean of its divisors is an integer number (13548572091639).

Almost surely, 2^{212305501031553} is an apocalyptic number.

It is an amenable number.

212305501031553 is a deficient number, since it is larger than the sum of its proper divisors (112860229167783).

212305501031553 is a wasteful number, since it uses less digits than its factorization.

212305501031553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979483825 (or 1979483822 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 212305501031553 its reverse (355130105503212), we get a palindrome (567435606534765).

The spelling of 212305501031553 in words is "two hundred twelve trillion, three hundred five billion, five hundred one million, thirty-one thousand, five hundred fifty-three".