4013505100 has 72 divisors (see below), whose sum is σ = 9532233648. Its totient is φ = 1454668800.

The previous prime is 4013504951. The next prime is 4013505101. The reversal of 4013505100 is 15053104.

It is a super-2 number, since 2×4013505100² = 32216446375452020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013505101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338472 + ... + 350128.

It is an arithmetic number, because the mean of its divisors is an integer number (132392134).

Almost surely, 2^4013505100 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 4013505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766116824).

4013505100 is an abundant number, since it is smaller than the sum of its proper divisors (5518728548).

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

4013505100 is a wasteful number, since it uses less digits than its factorization.

4013505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 4013505100 is about 63352.2304264025. The cubic root of 4013505100 is about 1589.1855459872.

Adding to 4013505100 its reverse (15053104), we get a palindrome (4028558204).

The spelling of 4013505100 in words is "four billion, thirteen million, five hundred five thousand, one hundred".