42535036128321 has 81 divisors (see below), whose sum is σ = 67884741845193. Its totient is φ = 25645111050240.

The previous prime is 42535036128311. The next prime is 42535036128353. The reversal of 42535036128321 is 12382163053524.

The square root of 42535036128321 is 6521889.

It is a perfect power (a square), and thus also a powerful number.

42535036128321 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 5 + 0 + 3 + 612 + 8 + 3 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11655498420225 + 30879537708096 = 3414015^2 + 5556936^2 .

It is not a de Polignac number, because 42535036128321 - 2⁹ = 42535036127809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42535036128311) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55312140225 + ... + 55312140993.

Almost surely, 2^{42535036128321} is an apocalyptic number.

42535036128321 is the 6521889-th square number.

42535036128321 is the 3260945-th centered octagonal number.

It is an amenable number.

42535036128321 is a deficient number, since it is larger than the sum of its proper divisors (25349705716872).

42535036128321 is an frugal number, since it uses more digits than its factorization.

42535036128321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42535036128321 in words is "forty-two trillion, five hundred thirty-five billion, thirty-six million, one hundred twenty-eight thousand, three hundred twenty-one".