6101072901225 has 81 divisors (see below), whose sum is σ = 11120038197879. Its totient is φ = 3197608509600.

The previous prime is 6101072901223. The next prime is 6101072901227. The reversal of 6101072901225 is 5221092701016.

The square root of 6101072901225 is 2470035.

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

6101072901225 is a `hidden beast` number, since 610 + 1 + 0 + 7 + 2 + 9 + 0 + 12 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (6101072901223) and next prime (6101072901227).

It can be written as a sum of positive squares in only one way, i.e., 2196386244441 + 3904686656784 = 1482021^2 + 1976028^2 .

It is not a de Polignac number, because 6101072901225 - 2¹ = 6101072901223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6101072901225.

It is not an unprimeable number, because it can be changed into a prime (6101072901223) by changing a digit.

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, 2185979580 + ... + 2185982370.

Almost surely, 2^{6101072901225} is an apocalyptic number.

6101072901225 is the 2470035-th square number.

6101072901225 is the 1235018-th centered octagonal number.

It is an amenable number.

6101072901225 is a deficient number, since it is larger than the sum of its proper divisors (5018965296654).

6101072901225 is an frugal number, since it uses more digits than its factorization.

6101072901225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 2858 counting only the distinct ones).

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

Multiplying 6101072901225 by its sum of digits (36), we get a square (219638624444100 = 14820210²).

The spelling of 6101072901225 in words is "six trillion, one hundred one billion, seventy-two million, nine hundred one thousand, two hundred twenty-five".