825641000146528 has 48 divisors (see below), whose sum is σ = 1678105860157440. Its totient is φ = 399458405174400.

The previous prime is 825641000146483. The next prime is 825641000146537.

825641000146528 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×825641000146528² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38439408 + ... + 55936303.

It is an arithmetic number, because the mean of its divisors is an integer number (34960538753280).

Almost surely, 2^{825641000146528} is an apocalyptic number.

It is an amenable number.

825641000146528 is an abundant number, since it is smaller than the sum of its proper divisors (852464860010912).

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

825641000146528 is a wasteful number, since it uses less digits than its factorization.

825641000146528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94384571 (or 94384563 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

It can be divided in two parts, 825641000 and 146528, that added together give a palindrome (825787528).

The spelling of 825641000146528 in words is "eight hundred twenty-five trillion, six hundred forty-one billion, one hundred forty-six thousand, five hundred twenty-eight".