4106010825 has 48 divisors (see below), whose sum is σ = 8620460160. Its totient is φ = 1877031360.

The previous prime is 4106010823. The next prime is 4106010829. The reversal of 4106010825 is 5280106014.

4106010825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4106010825 - 2¹ = 4106010823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4106010823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429774 + ... + 439223.

It is an arithmetic number, because the mean of its divisors is an integer number (179592920).

Almost surely, 2^4106010825 is an apocalyptic number.

4106010825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4106010825 is an abundant number, since it is smaller than the sum of its proper divisors (4514449335).

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

4106010825 is a wasteful number, since it uses less digits than its factorization.

4106010825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869023 (or 869012 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4106010825 is about 64078.1618416134. The cubic root of 4106010825 is about 1601.3024323446.

Adding to 4106010825 its reverse (5280106014), we get a palindrome (9386116839).

The spelling of 4106010825 in words is "four billion, one hundred six million, ten thousand, eight hundred twenty-five".