35582528052 has 36 divisors (see below), whose sum is σ = 91419232996. Its totient is φ = 11666401920.

The previous prime is 35582528041. The next prime is 35582528101. The reversal of 35582528052 is 25082528553.

35582528052 is a `hidden beast` number, since 3 + 558 + 25 + 28 + 0 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9666035856 + 25916492196 = 98316^2 + 160986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×35582528052² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35582527989 and 35582528007.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8099473 + ... + 8103864.

Almost surely, 2^35582528052 is an apocalyptic number.

It is an amenable number.

35582528052 is an abundant number, since it is smaller than the sum of its proper divisors (55836704944).

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

35582528052 is a wasteful number, since it uses less digits than its factorization.

35582528052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16203408 (or 16203403 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 35582528052 in words is "thirty-five billion, five hundred eighty-two million, five hundred twenty-eight thousand, fifty-two".