945276652125 has 768 divisors, whose sum is σ = 2131553249280. Its totient is φ = 413857382400.

The previous prime is 945276652123. The next prime is 945276652127. The reversal of 945276652125 is 521256672549.

945276652125 is a `hidden beast` number, since 9 + 4 + 52 + 7 + 66 + 521 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (945276652123) and next prime (945276652127).

It is not a de Polignac number, because 945276652125 - 2¹ = 945276652123 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945276652121) 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 767 ways as a sum of consecutive naturals, for example, 9745120077 + ... + 9745120173.

It is an arithmetic number, because the mean of its divisors is an integer number (2775459960).

Almost surely, 2^945276652125 is an apocalyptic number.

It is an amenable number.

945276652125 is an abundant number, since it is smaller than the sum of its proper divisors (1186276597155).

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

945276652125 is a wasteful number, since it uses less digits than its factorization.

945276652125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 945276652125 in words is "nine hundred forty-five billion, two hundred seventy-six million, six hundred fifty-two thousand, one hundred twenty-five".