42513345 has 72 divisors (see below), whose sum is σ = 89653824. Its totient is φ = 18252288.

The previous prime is 42513337. The next prime is 42513349. The reversal of 42513345 is 54331524.

It is not a de Polignac number, because 42513345 - 2³ = 42513337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42513349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90802 + ... + 91268.

It is an arithmetic number, because the mean of its divisors is an integer number (1245192).

Almost surely, 2^42513345 is an apocalyptic number.

42513345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42513345 is an abundant number, since it is smaller than the sum of its proper divisors (47140479).

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

42513345 is a wasteful number, since it uses less digits than its factorization.

42513345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 42513345 is about 6520.2258396470. The cubic root of 42513345 is about 349.0131247407.

Adding to 42513345 its reverse (54331524), we get a palindrome (96844869).

The spelling of 42513345 in words is "forty-two million, five hundred thirteen thousand, three hundred forty-five".