152564464302233 has 16 divisors (see below), whose sum is σ = 155265277288464. Its totient is φ = 149888484495360.

The previous prime is 152564464302223. The next prime is 152564464302247. The reversal of 152564464302233 is 332203464465251.

It can be written as a sum of positive squares in 8 ways, for example, as 9435973670809 + 143128490631424 = 3071803^2 + 11963632^2 .

It is a cyclic number.

It is not a de Polignac number, because 152564464302233 - 2⁴² = 148166417791129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152564464302223) 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 15 ways as a sum of consecutive naturals, for example, 11436941 + ... + 20878997.

It is an arithmetic number, because the mean of its divisors is an integer number (9704079830529).

Almost surely, 2^{152564464302233} is an apocalyptic number.

It is an amenable number.

152564464302233 is a deficient number, since it is larger than the sum of its proper divisors (2700812986231).

152564464302233 is a wasteful number, since it uses less digits than its factorization.

152564464302233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443372.

The product of its (nonzero) digits is 12441600, while the sum is 50.

The spelling of 152564464302233 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred sixty-four million, three hundred two thousand, two hundred thirty-three".