82606625451 has 36 divisors (see below), whose sum is σ = 146106971400. Its totient is φ = 44719371648.

The previous prime is 82606625399. The next prime is 82606625461. The reversal of 82606625451 is 15452660628.

82606625451 is a `hidden beast` number, since 82 + 60 + 6 + 62 + 5 + 451 = 666.

It is not a de Polignac number, because 82606625451 - 2⁷ = 82606625323 is a prime.

It is a super-3 number, since 3×82606625451³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82606625397 and 82606625406.

It is not an unprimeable number, because it can be changed into a prime (82606625461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4921006 + ... + 4937763.

Almost surely, 2^82606625451 is an apocalyptic number.

82606625451 is a deficient number, since it is larger than the sum of its proper divisors (63500345949).

82606625451 is a wasteful number, since it uses less digits than its factorization.

82606625451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858808 (or 9858798 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 82606625451 in words is "eighty-two billion, six hundred six million, six hundred twenty-five thousand, four hundred fifty-one".