712084510201 has 27 divisors (see below), whose sum is σ = 744797446533. Its totient is φ = 680785232760.

The previous prime is 712084510199. The next prime is 712084510219. The reversal of 712084510201 is 102015480217.

The square root of 712084510201 is 843851.

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

It is not a de Polignac number, because 712084510201 - 2¹ = 712084510199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712084510301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4263979020 + ... + 4263979186.

Almost surely, 2^712084510201 is an apocalyptic number.

712084510201 is the 843851-st square number.

712084510201 is the 421926-th centered octagonal number.

It is an amenable number.

712084510201 is a deficient number, since it is larger than the sum of its proper divisors (32712936332).

712084510201 is an frugal number, since it uses more digits than its factorization.

712084510201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

Adding to 712084510201 its reverse (102015480217), we get a palindrome (814099990418).

The spelling of 712084510201 in words is "seven hundred twelve billion, eighty-four million, five hundred ten thousand, two hundred one".