6700151056225 has 81 divisors (see below), whose sum is σ = 9641968090041. Its totient is φ = 4614508324800.

The previous prime is 6700151056177. The next prime is 6700151056241. The reversal of 6700151056225 is 5226501510076.

The square root of 6700151056225 is 2588465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 130279849249 + 6569871206976 = 360943^2 + 2563176^2 .

It is not a de Polignac number, because 6700151056225 - 2⁷ = 6700151056097 is a prime.

It is a super-2 number, since 2×6700151056225² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2704944687 + ... + 2704947163.

Almost surely, 2^{6700151056225} is an apocalyptic number.

6700151056225 is the 2588465-th square number.

6700151056225 is the 1294233-rd centered octagonal number.

It is an amenable number.

6700151056225 is a deficient number, since it is larger than the sum of its proper divisors (2941817033816).

6700151056225 is an equidigital number, since it uses as much as digits as its factorization.

6700151056225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 6700151056225 in words is "six trillion, seven hundred billion, one hundred fifty-one million, fifty-six thousand, two hundred twenty-five".