480853626132425 has 144 divisors (see below), whose sum is σ = 775769073695280. Its totient is φ = 292810995671040.

The previous prime is 480853626132359. The next prime is 480853626132427. The reversal of 480853626132425 is 524231626358084.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 426901383974464 + 53952242157961 = 20661592^2 + 7345219^2 .

It is not a de Polignac number, because 480853626132425 - 2⁸ = 480853626132169 is a prime.

It is a super-3 number, since 3×480853626132425³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480853626132427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47856317 + ... + 57025733.

It is an arithmetic number, because the mean of its divisors is an integer number (5387285233995).

Almost surely, 2^{480853626132425} is an apocalyptic number.

It is an amenable number.

480853626132425 is a deficient number, since it is larger than the sum of its proper divisors (294915447562855).

480853626132425 is a wasteful number, since it uses less digits than its factorization.

480853626132425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169580 (or 9169568 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 59.

The spelling of 480853626132425 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred twenty-six million, one hundred thirty-two thousand, four hundred twenty-five".