6611126006521 has 15 divisors (see below), whose sum is σ = 6731052442665. Its totient is φ = 6493336259400.

The previous prime is 6611126006393. The next prime is 6611126006599. The reversal of 6611126006521 is 1256006211166.

The square root of 6611126006521 is 2571211.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5779163112121 + 831962894400 = 2403989^2 + 912120^2 .

It is not a de Polignac number, because 6611126006521 - 2⁷ = 6611126006393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6611126006021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9567475786 + ... + 9567476476.

It is an arithmetic number, because the mean of its divisors is an integer number (448736829511).

Almost surely, 2^{6611126006521} is an apocalyptic number.

6611126006521 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

6611126006521 is the 2571211-st square number.

6611126006521 is the 1285606-th centered octagonal number.

It is an amenable number.

6611126006521 is a deficient number, since it is larger than the sum of its proper divisors (119926436144).

6611126006521 is an frugal number, since it uses more digits than its factorization.

6611126006521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 6611126006521 in words is "six trillion, six hundred eleven billion, one hundred twenty-six million, six thousand, five hundred twenty-one".