425106528 has 192 divisors, whose sum is σ = 1405071360. Its totient is φ = 109324800.

The previous prime is 425106523. The next prime is 425106529. The reversal of 425106528 is 825601524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425106523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968133 + ... + 968571.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^425106528 is an apocalyptic number.

425106528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425106528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

425106528 is an abundant number, since it is smaller than the sum of its proper divisors (979964832).

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

425106528 is a wasteful number, since it uses less digits than its factorization.

425106528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 425106528 is about 20618.1116497123. Note that the first 3 decimals coincide. The cubic root of 425106528 is about 751.9101107284.

It can be divided in two parts, 425 and 106528, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 425106528 in words is "four hundred twenty-five million, one hundred six thousand, five hundred twenty-eight".