480607501822525 has 72 divisors (see below), whose sum is σ = 756804697086816. Its totient is φ = 299389519094400.

The previous prime is 480607501822523. The next prime is 480607501822561. The reversal of 480607501822525 is 525228105706084.

It is not a de Polignac number, because 480607501822525 - 2¹ = 480607501822523 is a prime.

It is a super-3 number, since 3×480607501822525³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480607501822523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6731767 + ... + 31725883.

It is an arithmetic number, because the mean of its divisors is an integer number (10511176348428).

Almost surely, 2^{480607501822525} is an apocalyptic number.

It is an amenable number.

480607501822525 is a deficient number, since it is larger than the sum of its proper divisors (276197195264291).

480607501822525 is a wasteful number, since it uses less digits than its factorization.

480607501822525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995579 (or 24995567 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 55.

The spelling of 480607501822525 in words is "four hundred eighty trillion, six hundred seven billion, five hundred one million, eight hundred twenty-two thousand, five hundred twenty-five".