713123004 has 192 divisors, whose sum is σ = 2060577792. Its totient is φ = 189235200.

The previous prime is 713122973. The next prime is 713123023. The reversal of 713123004 is 400321317.

It is a super-3 number, since 3×713123004³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2115924 + ... + 2116260.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2^713123004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713123004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896).

713123004 is an abundant number, since it is smaller than the sum of its proper divisors (1347454788).

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

713123004 is a wasteful number, since it uses less digits than its factorization.

713123004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 713123004 is about 26704.3630143091. The cubic root of 713123004 is about 893.4182412922.

It can be divided in two parts, 7131 and 23004, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 713123004 in words is "seven hundred thirteen million, one hundred twenty-three thousand, four".