713288052 has 192 divisors, whose sum is σ = 2038579200. Its totient is φ = 214980480.

The previous prime is 713288047. The next prime is 713288099. The reversal of 713288052 is 250882317.

713288052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 713287998 and 713288016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4543158 + ... + 4543314.

It is an arithmetic number, because the mean of its divisors is an integer number (10617600).

Almost surely, 2^713288052 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 713288052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019289600).

713288052 is an abundant number, since it is smaller than the sum of its proper divisors (1325291148).

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

713288052 is a wasteful number, since it uses less digits than its factorization.

713288052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 713288052 is about 26707.4531170608. The cubic root of 713288052 is about 893.4871613890.

The spelling of 713288052 in words is "seven hundred thirteen million, two hundred eighty-eight thousand, fifty-two".