712441253 has 16 divisors (see below), whose sum is σ = 777267504. Its totient is φ = 650280960.

The previous prime is 712441199. The next prime is 712441267. The reversal of 712441253 is 352144217.

It can be written as a sum of positive squares in 8 ways, for example, as 101263969 + 611177284 = 10063^2 + 24722^2 .

It is a cyclic number.

It is not a de Polignac number, because 712441253 - 2⁶ = 712441189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712441283) 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 15 ways as a sum of consecutive naturals, for example, 210293 + ... + 213653.

It is an arithmetic number, because the mean of its divisors is an integer number (48579219).

Almost surely, 2^712441253 is an apocalyptic number.

It is an amenable number.

712441253 is a deficient number, since it is larger than the sum of its proper divisors (64826251).

712441253 is a wasteful number, since it uses less digits than its factorization.

712441253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752.

The product of its digits is 6720, while the sum is 29.

The square root of 712441253 is about 26691.5951752607. The cubic root of 712441253 is about 893.1334456459.

The spelling of 712441253 in words is "seven hundred twelve million, four hundred forty-one thousand, two hundred fifty-three".