153416564505 has 24 divisors (see below), whose sum is σ = 265951787400. Its totient is φ = 81813016320.

The previous prime is 153416564459. The next prime is 153416564519. The reversal of 153416564505 is 505465614351.

153416564505 is a `hidden beast` number, since 1 + 5 + 34 + 1 + 6 + 564 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51504940809 + 101911623696 = 226947^2 + 319236^2 .

It is not a de Polignac number, because 153416564505 - 2⁷ = 153416564377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226171 + ... + 598319.

It is an arithmetic number, because the mean of its divisors is an integer number (11081324475).

Almost surely, 2^153416564505 is an apocalyptic number.

153416564505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153416564505 is a deficient number, since it is larger than the sum of its proper divisors (112535222895).

153416564505 is a wasteful number, since it uses less digits than its factorization.

153416564505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381321 (or 381318 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 153416564505 in words is "one hundred fifty-three billion, four hundred sixteen million, five hundred sixty-four thousand, five hundred five".