83202527952 has 60 divisors (see below), whose sum is σ = 240880894020. Its totient is φ = 26777823744.

The previous prime is 83202527921. The next prime is 83202527953. The reversal of 83202527952 is 25972520238.

83202527952 is a `hidden beast` number, since 8 + 32 + 0 + 2 + 527 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49941522576 + 33261005376 = 223476^2 + 182376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83202527898 and 83202527907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83202527953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9957813 + ... + 9966164.

It is an arithmetic number, because the mean of its divisors is an integer number (4014681567).

Almost surely, 2^83202527952 is an apocalyptic number.

It is an amenable number.

83202527952 is an abundant number, since it is smaller than the sum of its proper divisors (157678366068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83202527952 is a wasteful number, since it uses less digits than its factorization.

83202527952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19924020 (or 19924011 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 83202527952 in words is "eighty-three billion, two hundred two million, five hundred twenty-seven thousand, nine hundred fifty-two".