825130968 has 128 divisors (see below), whose sum is σ = 2225664000. Its totient is φ = 254338560.

The previous prime is 825130963. The next prime is 825131053. The reversal of 825130968 is 869031528.

It is a super-2 number, since 2×825130968² = 1361682228705234048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825130963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3603078 + ... + 3603306.

It is an arithmetic number, because the mean of its divisors is an integer number (17388000).

Almost surely, 2^825130968 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 825130968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832000).

825130968 is an abundant number, since it is smaller than the sum of its proper divisors (1400533032).

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

825130968 is a wasteful number, since it uses less digits than its factorization.

825130968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 825130968 is about 28725.0930024604. The cubic root of 825130968 is about 937.9383547184.

The spelling of 825130968 in words is "eight hundred twenty-five million, one hundred thirty thousand, nine hundred sixty-eight".