925005312 has 480 divisors, whose sum is σ = 3483110400. Its totient is φ = 237219840.

The previous prime is 925005307. The next prime is 925005317. The reversal of 925005312 is 213500529.

It is an interprime number because it is at equal distance from previous prime (925005307) and next prime (925005317).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925005317) 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, 11708889 + ... + 11708967.

It is an arithmetic number, because the mean of its divisors is an integer number (7256480).

Almost surely, 2^925005312 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 925005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741555200).

925005312 is an abundant number, since it is smaller than the sum of its proper divisors (2558105088).

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

925005312 is a wasteful number, since it uses less digits than its factorization.

925005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 925005312 is about 30413.8999801078. The cubic root of 925005312 is about 974.3494453133.

The spelling of 925005312 in words is "nine hundred twenty-five million, five thousand, three hundred twelve".