825006035970 has 64 divisors (see below), whose sum is σ = 2200485306240. Its totient is φ = 219954688704.

The previous prime is 825006035963. The next prime is 825006035977. The reversal of 825006035970 is 79530600528.

It is a happy number.

825006035970 is a `hidden beast` number, since 8 + 2 + 50 + 0 + 6 + 0 + 3 + 597 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (825006035963) and next prime (825006035977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (825006035977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951732 + ... + 1598688.

It is an arithmetic number, because the mean of its divisors is an integer number (34382582910).

Almost surely, 2^825006035970 is an apocalyptic number.

825006035970 is an abundant number, since it is smaller than the sum of its proper divisors (1375479270270).

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

825006035970 is a wasteful number, since it uses less digits than its factorization.

825006035970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651696 (or 651690 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 825006035970 in words is "eight hundred twenty-five billion, six million, thirty-five thousand, nine hundred seventy".