4016582505 has 64 divisors (see below), whose sum is σ = 7955136000. Its totient is φ = 1909184256.

The previous prime is 4016582489. The next prime is 4016582509. The reversal of 4016582505 is 5052856104.

It is not a de Polignac number, because 4016582505 - 2⁴ = 4016582489 is a prime.

It is a super-2 number, since 2×4016582505² = 32265870038944150050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4016582505.

It is not an unprimeable number, because it can be changed into a prime (4016582509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11436 + ... + 90354.

It is an arithmetic number, because the mean of its divisors is an integer number (124299000).

Almost surely, 2^4016582505 is an apocalyptic number.

4016582505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4016582505 is a deficient number, since it is larger than the sum of its proper divisors (3938553495).

4016582505 is a wasteful number, since it uses less digits than its factorization.

4016582505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78975 (or 78969 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 4016582505 is about 63376.5138280736. The cubic root of 4016582505 is about 1589.5916181517.

The spelling of 4016582505 in words is "four billion, sixteen million, five hundred eighty-two thousand, five hundred five".