1007684707225 has 243 divisors, whose sum is σ = 1611129500253. Its totient is φ = 623309258880.

The previous prime is 1007684707223. The next prime is 1007684707243. The reversal of 1007684707225 is 5227074867001.

The square root of 1007684707225 is 1003835.

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 13851171481 + 993833535744 = 117691^2 + 996912^2 .

It is not a de Polignac number, because 1007684707225 - 2¹ = 1007684707223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1007684707223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 23434528054 + ... + 23434528096.

Almost surely, 2^{1007684707225} is an apocalyptic number.

1007684707225 is the 1003835-th square number.

1007684707225 is the 501918-th centered octagonal number.

It is an amenable number.

1007684707225 is a deficient number, since it is larger than the sum of its proper divisors (603444793028).

1007684707225 is an equidigital number, since it uses as much as digits as its factorization.

1007684707225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 49.

Multiplying 1007684707225 by its sum of digits (49), we get a square (49376550654025 = 7026845²).

1007684707225 divided by its sum of digits (49) gives a square (20564994025 = 143405²).

The spelling of 1007684707225 in words is "one trillion, seven billion, six hundred eighty-four million, seven hundred seven thousand, two hundred twenty-five".