825075007500 has 120 divisors (see below), whose sum is σ = 2424065700672. Its totient is φ = 218340200000.

The previous prime is 825075007459. The next prime is 825075007579. The reversal of 825075007500 is 5700570528.

It is a super-2 number, since 2×825075007500² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562615 + ... + 1402385.

Almost surely, 2^825075007500 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 825075007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212032850336).

825075007500 is an abundant number, since it is smaller than the sum of its proper divisors (1598990693172).

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

825075007500 is a wasteful number, since it uses less digits than its factorization.

825075007500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839929 (or 839912 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The spelling of 825075007500 in words is "eight hundred twenty-five billion, seventy-five million, seven thousand, five hundred".