42513504 has 96 divisors (see below), whose sum is σ = 123088896. Its totient is φ = 12741120.

The previous prime is 42513503. The next prime is 42513509. The reversal of 42513504 is 40531524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42513503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133954 + ... + 134270.

It is an arithmetic number, because the mean of its divisors is an integer number (1282176).

Almost surely, 2^42513504 is an apocalyptic number.

42513504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544448).

42513504 is an abundant number, since it is smaller than the sum of its proper divisors (80575392).

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

42513504 is a wasteful number, since it uses less digits than its factorization.

42513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42513504 is about 6520.2380324648. The cubic root of 42513504 is about 349.0135598435.

The spelling of 42513504 in words is "forty-two million, five hundred thirteen thousand, five hundred four".