41513520100 has 144 divisors (see below), whose sum is σ = 100045471680. Its totient is φ = 14854694400.

The previous prime is 41513520077. The next prime is 41513520101. The reversal of 41513520100 is 102531514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41513520101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7320066 + ... + 7325734.

It is an arithmetic number, because the mean of its divisors is an integer number (694760220).

Almost surely, 2^41513520100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41513520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50022735840).

41513520100 is an abundant number, since it is smaller than the sum of its proper divisors (58531951580).

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

41513520100 is a wasteful number, since it uses less digits than its factorization.

41513520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 41513520100 in words is "forty-one billion, five hundred thirteen million, five hundred twenty thousand, one hundred".