102050305513 has 8 divisors (see below), whose sum is σ = 110182854600. Its totient is φ = 93958117248.

The previous prime is 102050305493. The next prime is 102050305519. The reversal of 102050305513 is 315503050201.

It can be written as a sum of positive squares in 4 ways, for example, as 5994940329 + 96055365184 = 77427^2 + 309928^2 .

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 102050305513 - 2²⁹ = 101513434601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102050305519) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10084948 + ... + 10095061.

It is an arithmetic number, because the mean of its divisors is an integer number (13772856825).

Almost surely, 2^102050305513 is an apocalyptic number.

102050305513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102050305513 is a deficient number, since it is larger than the sum of its proper divisors (8132549087).

102050305513 is a wasteful number, since it uses less digits than its factorization.

102050305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20180411.

The product of its (nonzero) digits is 2250, while the sum is 25.

Adding to 102050305513 its reverse (315503050201), we get a palindrome (417553355714).

The spelling of 102050305513 in words is "one hundred two billion, fifty million, three hundred five thousand, five hundred thirteen".