825134376 has 64 divisors (see below), whose sum is σ = 2253081600. Its totient is φ = 249739200.

The previous prime is 825134371. The next prime is 825134377. The reversal of 825134376 is 673431528.

825134376 is a nontrivial binomial coefficient, being equal to C(40624, 2).

It is not an unprimeable number, because it can be changed into a prime (825134371) 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 15 ways as a sum of consecutive naturals, for example, 323715 + ... + 326253.

It is an arithmetic number, because the mean of its divisors is an integer number (35204400).

Almost surely, 2^825134376 is an apocalyptic number.

825134376 is the 40623-rd triangular number and also the 20312-nd hexagonal number.

It is an amenable number.

825134376 is an abundant number, since it is smaller than the sum of its proper divisors (1427947224).

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

825134376 is a wasteful number, since it uses less digits than its factorization.

825134376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3786 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 825134376 is about 28725.1523233559. The cubic root of 825134376 is about 937.9396460243.

The spelling of 825134376 in words is "eight hundred twenty-five million, one hundred thirty-four thousand, three hundred seventy-six".