82137429953025 has 24 divisors (see below), whose sum is σ = 135800810748384. Its totient is φ = 43806545472000.

The previous prime is 82137429953011. The next prime is 82137429953039. The reversal of 82137429953025 is 52035992473128.

It is an interprime number because it is at equal distance from previous prime (82137429953011) and next prime (82137429953039).

It is not a de Polignac number, because 82137429953025 - 2¹³ = 82137429944833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82137429953025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73908522 + ... + 75011628.

It is an arithmetic number, because the mean of its divisors is an integer number (5658367114516).

Almost surely, 2^{82137429953025} is an apocalyptic number.

It is an amenable number.

82137429953025 is a deficient number, since it is larger than the sum of its proper divisors (53663380795359).

82137429953025 is a wasteful number, since it uses less digits than its factorization.

82137429953025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095921 (or 2095916 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 82137429953025 in words is "eighty-two trillion, one hundred thirty-seven billion, four hundred twenty-nine million, nine hundred fifty-three thousand, twenty-five".