4101532506 has 72 divisors (see below), whose sum is σ = 9465374880. Its totient is φ = 1283319936.

The previous prime is 4101532493. The next prime is 4101532537. The reversal of 4101532506 is 6052351014.

4101532506 is a `hidden beast` number, since 4 + 1 + 0 + 153 + 2 + 506 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4101532506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2532565 + ... + 2534183.

It is an arithmetic number, because the mean of its divisors is an integer number (131463540).

Almost surely, 2^4101532506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101532506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732687440).

4101532506 is an abundant number, since it is smaller than the sum of its proper divisors (5363842374).

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

4101532506 is a wasteful number, since it uses less digits than its factorization.

4101532506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4101532506 is about 64043.2081176451. The cubic root of 4101532506 is about 1600.7200542879.

The spelling of 4101532506 in words is "four billion, one hundred one million, five hundred thirty-two thousand, five hundred six".