82575850225617 has 40 divisors (see below), whose sum is σ = 140977311093696. Its totient is φ = 47185779603168.

The previous prime is 82575850225579. The next prime is 82575850225621. The reversal of 82575850225617 is 71652205857528.

82575850225617 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 5 + 8 + 5 + 0 + 2 + 2 + 5 + 617 = 666.

It is not a de Polignac number, because 82575850225617 - 2⁷ = 82575850225489 is a prime.

It is a super-2 number, since 2×82575850225617² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82575850225417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69759063 + ... + 70932915.

Almost surely, 2^{82575850225617} is an apocalyptic number.

It is an amenable number.

82575850225617 is a deficient number, since it is larger than the sum of its proper divisors (58401460868079).

82575850225617 is a wasteful number, since it uses less digits than its factorization.

82575850225617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297939 (or 1297930 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 63.

The spelling of 82575850225617 in words is "eighty-two trillion, five hundred seventy-five billion, eight hundred fifty million, two hundred twenty-five thousand, six hundred seventeen".