712420513575277 has 24 divisors (see below), whose sum is σ = 782452566506520. Its totient is φ = 644810952082560.

The previous prime is 712420513575269. The next prime is 712420513575293. The reversal of 712420513575277 is 772575315024217.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72015692274436 + 640404821300841 = 8486206^2 + 25306221^2 .

It is not a de Polignac number, because 712420513575277 - 2³ = 712420513575269 is a prime.

It is a super-2 number, since 2×712420513575277² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712420513575877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631874 + ... + 37838707.

It is an arithmetic number, because the mean of its divisors is an integer number (32602190271105).

Almost surely, 2^{712420513575277} is an apocalyptic number.

It is an amenable number.

712420513575277 is a deficient number, since it is larger than the sum of its proper divisors (70032052931243).

712420513575277 is a wasteful number, since it uses less digits than its factorization.

712420513575277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40471101 (or 40471042 counting only the distinct ones).

The product of its (nonzero) digits is 28812000, while the sum is 58.

The spelling of 712420513575277 in words is "seven hundred twelve trillion, four hundred twenty billion, five hundred thirteen million, five hundred seventy-five thousand, two hundred seventy-seven".