42589670513 has 8 divisors (see below), whose sum is σ = 45893303400. Its totient is φ = 39289966848.

The previous prime is 42589670449. The next prime is 42589670521. The reversal of 42589670513 is 31507698524.

42589670513 = 145927² + 145928².

It is a happy number.

42589670513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47720464 + 42541950049 = 6908^2 + 206257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42589670513 - 2⁶ = 42589670449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42589670213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959768 + ... + 1003161.

It is an arithmetic number, because the mean of its divisors is an integer number (5736662925).

It is a 2-persistent number, because it is pandigital, and so is 2⋅42589670513 = 85179341026, but 3⋅42589670513 = 127769011539 is not.

Almost surely, 2^42589670513 is an apocalyptic number.

42589670513 is the 145928-th centered square number.

It is an amenable number.

42589670513 is a deficient number, since it is larger than the sum of its proper divisors (3303632887).

42589670513 is a wasteful number, since it uses less digits than its factorization.

42589670513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964611.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 42589670513 in words is "forty-two billion, five hundred eighty-nine million, six hundred seventy thousand, five hundred thirteen".