712091261025 has 81 divisors (see below), whose sum is σ = 1290504541963. Its totient is φ = 375346704000.

The previous prime is 712091261023. The next prime is 712091261033. The reversal of 712091261025 is 520162190217.

The square root of 712091261025 is 843855.

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

712091261025 is a `hidden beast` number, since 7 + 1 + 2 + 0 + 9 + 12 + 610 + 25 = 666.

712091261025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 384847770321 + 327243490704 = 620361^2 + 572052^2 .

It is not a de Polignac number, because 712091261025 - 2¹ = 712091261023 is a prime.

It is a super-3 number, since 3×712091261025³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712091261023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1278440047 + ... + 1278440603.

Almost surely, 2^712091261025 is an apocalyptic number.

712091261025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

712091261025 is the 843855-th square number.

712091261025 is the 421928-th centered octagonal number.

It is an amenable number.

712091261025 is a deficient number, since it is larger than the sum of its proper divisors (578413280938).

712091261025 is an equidigital number, since it uses as much as digits as its factorization.

712091261025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 712091261025 by its sum of digits (36), we get a square (25635285396900 = 5063130²).

The spelling of 712091261025 in words is "seven hundred twelve billion, ninety-one million, two hundred sixty-one thousand, twenty-five".