713181939001 has 27 divisors (see below), whose sum is σ = 834900005583. Its totient is φ = 607432679280.

The previous prime is 713181938983. The next prime is 713181939047. The reversal of 713181939001 is 100939181317.

The square root of 713181939001 is 844501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 283344354601 + 429837584400 = 532301^2 + 655620^2 .

It is not a de Polignac number, because 713181939001 - 2¹⁹ = 713181414713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (713181930001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1318265791 + ... + 1318266331.

It is an arithmetic number, because the mean of its divisors is an integer number (30922222429).

Almost surely, 2^713181939001 is an apocalyptic number.

713181939001 is the 844501-st square number.

713181939001 is the 422251-st centered octagonal number.

It is an amenable number.

713181939001 is a deficient number, since it is larger than the sum of its proper divisors (121718066582).

713181939001 is an frugal number, since it uses more digits than its factorization.

713181939001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

The spelling of 713181939001 in words is "seven hundred thirteen billion, one hundred eighty-one million, nine hundred thirty-nine thousand, one".