4153031505 has 72 divisors (see below), whose sum is σ = 8532105192. Its totient is φ = 1862654976.

The previous prime is 4153031453. The next prime is 4153031537. The reversal of 4153031505 is 5051303514.

4153031505 is a `hidden beast` number, since 4 + 153 + 0 + 3 + 1 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1361388609 + 2791642896 = 36897^2 + 52836^2 .

It is not a de Polignac number, because 4153031505 - 2¹⁶ = 4152965969 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99097 + ... + 134633.

It is an arithmetic number, because the mean of its divisors is an integer number (118501461).

Almost surely, 2^4153031505 is an apocalyptic number.

4153031505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4153031505 is an abundant number, since it is smaller than the sum of its proper divisors (4379073687).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4153031505 is a wasteful number, since it uses less digits than its factorization.

4153031505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35615 (or 35605 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 4153031505 is about 64444.0183802966. The cubic root of 4153031505 is about 1607.3917756586.

The spelling of 4153031505 in words is "four billion, one hundred fifty-three million, thirty-one thousand, five hundred five".