153264114323033 has 18 divisors (see below), whose sum is σ = 189391196722446. Its totient is φ = 123641638434048.

The previous prime is 153264114322987. The next prime is 153264114323057. The reversal of 153264114323033 is 330323411462351.

It can be written as a sum of positive squares in 3 ways, for example, as 51387148521289 + 101876965801744 = 7168483^2 + 10093412^2 .

It is not a de Polignac number, because 153264114323033 - 2⁸ = 153264114322777 is a prime.

It is a super-3 number, since 3×153264114323033³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153264114323533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5411472116 + ... + 5411500437.

It is an arithmetic number, because the mean of its divisors is an integer number (10521733151247).

Almost surely, 2^{153264114323033} is an apocalyptic number.

It is an amenable number.

153264114323033 is a deficient number, since it is larger than the sum of its proper divisors (36127082399413).

153264114323033 is a wasteful number, since it uses less digits than its factorization.

153264114323033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822972601 (or 10822972577 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

Adding to 153264114323033 its reverse (330323411462351), we get a palindrome (483587525785384).

The spelling of 153264114323033 in words is "one hundred fifty-three trillion, two hundred sixty-four billion, one hundred fourteen million, three hundred twenty-three thousand, thirty-three".