10225000506 has 128 divisors (see below), whose sum is σ = 25619742720. Its totient is φ = 2653056000.

The previous prime is 10225000501. The next prime is 10225000507. The reversal of 10225000506 is 60500052201.

10225000506 is a nontrivial binomial coefficient, being equal to C(143004, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10225000501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14585956 + ... + 14586656.

It is an arithmetic number, because the mean of its divisors is an integer number (200154240).

Almost surely, 2^10225000506 is an apocalyptic number.

10225000506 is the 143003-rd triangular number and also the 71502-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225000506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809871360).

10225000506 is an abundant number, since it is smaller than the sum of its proper divisors (15394742214).

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

10225000506 is a wasteful number, since it uses less digits than its factorization.

10225000506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10225000506 its reverse (60500052201), we get a palindrome (70725052707).

The spelling of 10225000506 in words is "ten billion, two hundred twenty-five million, five hundred six", and thus it is an aban number.