42535762564 has 27 divisors (see below), whose sum is σ = 75255595023. Its totient is φ = 21036684000.

The previous prime is 42535762531. The next prime is 42535762573. The reversal of 42535762564 is 46526753524.

The square root of 42535762564 is 206242.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16343576964 + 26192185600 = 127842^2 + 161840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41660374 + ... + 41661394.

Almost surely, 2^42535762564 is an apocalyptic number.

42535762564 is the 206242-nd square number.

It is an amenable number.

42535762564 is a deficient number, since it is larger than the sum of its proper divisors (32719832459).

42535762564 is an equidigital number, since it uses as much as digits as its factorization.

42535762564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1124 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 49.

Multiplying 42535762564 by its sum of digits (49), we get a square (2084252365636 = 1443694²).

The spelling of 42535762564 in words is "forty-two billion, five hundred thirty-five million, seven hundred sixty-two thousand, five hundred sixty-four".