612714783121 has 27 divisors (see below), whose sum is σ = 723980465019. Its totient is φ = 517035557808.

The previous prime is 612714783103. The next prime is 612714783137. The reversal of 612714783121 is 121387417216.

The square root of 612714783121 is 782761.

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., 326853467521 + 285861315600 = 571711^2 + 534660^2 .

It is not a de Polignac number, because 612714783121 - 2¹⁷ = 612714652049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (612714783151) 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 26 ways as a sum of consecutive naturals, for example, 367114075 + ... + 367115743.

It is an arithmetic number, because the mean of its divisors is an integer number (26814091297).

Almost surely, 2^612714783121 is an apocalyptic number.

612714783121 is the 782761-st square number.

612714783121 is the 391381-st centered octagonal number.

It is an amenable number.

612714783121 is a deficient number, since it is larger than the sum of its proper divisors (111265681898).

612714783121 is an frugal number, since it uses more digits than its factorization.

612714783121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 1743 counting only the distinct ones).

The product of its digits is 112896, while the sum is 43.

The spelling of 612714783121 in words is "six hundred twelve billion, seven hundred fourteen million, seven hundred eighty-three thousand, one hundred twenty-one".