152605516664263 has 24 divisors (see below), whose sum is σ = 171403923703824. Its totient is φ = 135048502235520.

The previous prime is 152605516664207. The next prime is 152605516664281. The reversal of 152605516664263 is 362466615506251.

It is not a de Polignac number, because 152605516664263 - 2¹⁷ = 152605516533191 is a prime.

It is a super-3 number, since 3×152605516664263³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152605516664198 and 152605516664207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152605516664063) 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, 55744006 + ... + 58417507.

It is an arithmetic number, because the mean of its divisors is an integer number (7141830154326).

Almost surely, 2^{152605516664263} is an apocalyptic number.

152605516664263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

152605516664263 is a deficient number, since it is larger than the sum of its proper divisors (18798407039561).

152605516664263 is a wasteful number, since it uses less digits than its factorization.

152605516664263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114161695 (or 114161664 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 58.

The spelling of 152605516664263 in words is "one hundred fifty-two trillion, six hundred five billion, five hundred sixteen million, six hundred sixty-four thousand, two hundred sixty-three".