107259525025 has 27 divisors (see below), whose sum is σ = 141322339371. Its totient is φ = 80739152640.

The previous prime is 107259525013. The next prime is 107259525029. The reversal of 107259525025 is 520525952701.

The square root of 107259525025 is 327505.

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

It can be written as a sum of positive squares in 13 ways, for example, as 346220449 + 106913304576 = 18607^2 + 326976^2 .

It is not a de Polignac number, because 107259525025 - 2¹¹ = 107259522977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107259525029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27835999 + ... + 27839851.

Almost surely, 2^107259525025 is an apocalyptic number.

107259525025 is the 327505-th square number.

107259525025 is the 163753-rd centered octagonal number.

It is an amenable number.

107259525025 is a deficient number, since it is larger than the sum of its proper divisors (34062814346).

107259525025 is an frugal number, since it uses more digits than its factorization.

107259525025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7750 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 107259525025 in words is "one hundred seven billion, two hundred fifty-nine million, five hundred twenty-five thousand, twenty-five".