153264153341601 has 16 divisors (see below), whose sum is σ = 227373801926400. Its totient is φ = 102033993588624.

The previous prime is 153264153341567. The next prime is 153264153341627. The reversal of 153264153341601 is 106143351462351.

153264153341601 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 6 + 4 + 1 + 5 + 3 + 34 + 1 + 601 = 666.

153264153341601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153264153341601 - 2²⁶ = 153264086232737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153264153341401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3947442426 + ... + 3947481251.

It is an arithmetic number, because the mean of its divisors is an integer number (14210862620400).

Almost surely, 2^{153264153341601} is an apocalyptic number.

It is an amenable number.

153264153341601 is a deficient number, since it is larger than the sum of its proper divisors (74109648584799).

153264153341601 is an equidigital number, since it uses as much as digits as its factorization.

153264153341601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894924405 (or 7894924399 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 153264153341601 in words is "one hundred fifty-three trillion, two hundred sixty-four billion, one hundred fifty-three million, three hundred forty-one thousand, six hundred one".