82507560525053 has 8 divisors (see below), whose sum is σ = 84070829820600. Its totient is φ = 80944532817408.

The previous prime is 82507560524969. The next prime is 82507560525077. The reversal of 82507560525053 is 35052506570528.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11159755346884 + 71347805178169 = 3340622^2 + 8446763^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82507560525053 - 2⁸ = 82507560524797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82507560524986 and 82507560525004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507560725053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59707388 + ... + 61073621.

It is an arithmetic number, because the mean of its divisors is an integer number (10508853727575).

Almost surely, 2^{82507560525053} is an apocalyptic number.

It is an amenable number.

82507560525053 is a deficient number, since it is larger than the sum of its proper divisors (1563269295547).

82507560525053 is a wasteful number, since it uses less digits than its factorization.

82507560525053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120793951.

The product of its (nonzero) digits is 12600000, while the sum is 53.

The spelling of 82507560525053 in words is "eighty-two trillion, five hundred seven billion, five hundred sixty million, five hundred twenty-five thousand, fifty-three".