752013 has 6 divisors (see below), whose sum is σ = 1086254. Its totient is φ = 501336.

The previous prime is 752009. The next prime is 752023. The reversal of 752013 is 310257.

It can be written as a sum of positive squares in only one way, i.e., 751689 + 324 = 867^2 + 18^2 .

It is not a de Polignac number, because 752013 - 2² = 752009 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41770 + ... + 41787.

2⁷⁵²⁰¹³ is an apocalyptic number.

It is an amenable number.

752013 is a deficient number, since it is larger than the sum of its proper divisors (334241).

752013 is a wasteful number, since it uses less digits than its factorization.

752013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83563 (or 83560 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 752013 is about 867.1868310808. The cubic root of 752013 is about 90.9372428873.

It can be divided in two parts, 75 and 2013, that multiplied together give a triangular number (150975 = T₅₄₉).

The spelling of 752013 in words is "seven hundred fifty-two thousand, thirteen".