152564464305003 has 16 divisors (see below), whose sum is σ = 203461624154880. Its totient is φ = 101688475649376.

The previous prime is 152564464304957. The next prime is 152564464305007. The reversal of 152564464305003 is 300503464465251.

152564464305003 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 152564464305003 - 2²⁴ = 152564447527787 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152564464305007) 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, 321202093 + ... + 321676721.

It is an arithmetic number, because the mean of its divisors is an integer number (12716351509680).

Almost surely, 2^{152564464305003} is an apocalyptic number.

152564464305003 is a deficient number, since it is larger than the sum of its proper divisors (50897159849877).

152564464305003 is a wasteful number, since it uses less digits than its factorization.

152564464305003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496706.

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 152564464305003 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred sixty-four million, three hundred five thousand, three".