75313013 has 8 divisors (see below), whose sum is σ = 75876696. Its totient is φ = 74752000.

The previous prime is 75313003. The next prime is 75313033. The reversal of 75313013 is 31031357.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67601284 + 7711729 = 8222^2 + 2777^2 .

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 75313013 - 2⁶ = 75312949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75313003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 117173 + ... + 117813.

It is an arithmetic number, because the mean of its divisors is an integer number (9484587).

Almost surely, 2^75313013 is an apocalyptic number.

It is an amenable number.

75313013 is a deficient number, since it is larger than the sum of its proper divisors (563683).

75313013 is a wasteful number, since it uses less digits than its factorization.

75313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 75313013 is about 8678.3070353612. The cubic root of 75313013 is about 422.3021970109.

The spelling of 75313013 in words is "seventy-five million, three hundred thirteen thousand, thirteen".