7513506 has 128 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 1788480.

The previous prime is 7513481. The next prime is 7513529. The reversal of 7513506 is 6053157.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7513506.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 53985 + ... + 54123.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^7513506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7513506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

7513506 is an abundant number, since it is smaller than the sum of its proper divisors (15065694).

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

7513506 is a wasteful number, since it uses less digits than its factorization.

7513506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 7513506 is about 2741.0775253539. The cubic root of 7513506 is about 195.8608098261.

The spelling of 7513506 in words is "seven million, five hundred thirteen thousand, five hundred six".