4165413525 has 192 divisors, whose sum is σ = 9974361600. Its totient is φ = 1653903360.

The previous prime is 4165413481. The next prime is 4165413541. The reversal of 4165413525 is 5253145614.

4165413525 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4165413525 - 2¹⁰ = 4165412501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4165413525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042231 + ... + 1046219.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 2^4165413525 is an apocalyptic number.

4165413525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4165413525 is an abundant number, since it is smaller than the sum of its proper divisors (5808948075).

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

4165413525 is a wasteful number, since it uses less digits than its factorization.

4165413525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4034 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 4165413525 is about 64540.0149132304. The cubic root of 4165413525 is about 1608.9876388373.

The spelling of 4165413525 in words is "four billion, one hundred sixty-five million, four hundred thirteen thousand, five hundred twenty-five".