125265737025 has 216 divisors, whose sum is σ = 271795812288. Its totient is φ = 54752544000.

The previous prime is 125265736969. The next prime is 125265737027. The reversal of 125265737025 is 520737562521.

125265737025 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 6 + 573 + 70 + 2 + 5 = 666.

It is not a de Polignac number, because 125265737025 - 2⁶ = 125265736961 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125265737027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15214660 + ... + 15222890.

Almost surely, 2^125265737025 is an apocalyptic number.

125265737025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125265737025 is an abundant number, since it is smaller than the sum of its proper divisors (146530075263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125265737025 is a wasteful number, since it uses less digits than its factorization.

125265737025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 125265737025 in words is "one hundred twenty-five billion, two hundred sixty-five million, seven hundred thirty-seven thousand, twenty-five".