83005100150038 has 32 divisors (see below), whose sum is σ = 135992490036480. Its totient is φ = 37683492987360.

The previous prime is 83005100150029. The next prime is 83005100150041.

83005100150038 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×83005100150038² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83005100149985 and 83005100150012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133339956 + ... + 1133413192.

It is an arithmetic number, because the mean of its divisors is an integer number (4249765313640).

Almost surely, 2^{83005100150038} is an apocalyptic number.

83005100150038 is a deficient number, since it is larger than the sum of its proper divisors (52987389886442).

83005100150038 is a wasteful number, since it uses less digits than its factorization.

83005100150038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135492.

The product of its (nonzero) digits is 14400, while the sum is 34.

It can be divided in two parts, 83005100 and 150038, that added together give a palindrome (83155138).

The spelling of 83005100150038 in words is "eighty-three trillion, five billion, one hundred million, one hundred fifty thousand, thirty-eight".