785364129053 has 16 divisors (see below), whose sum is σ = 918483793920. Its totient is φ = 657477411696.

The previous prime is 785364129049. The next prime is 785364129107. The reversal of 785364129053 is 350921463587.

It is a happy number.

It is not a de Polignac number, because 785364129053 - 2² = 785364129049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 785364128986 and 785364129004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785364119053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6224528 + ... + 6349446.

It is an arithmetic number, because the mean of its divisors is an integer number (57405237120).

It is a 1-persistent number, because it is pandigital, but 2⋅785364129053 = 1570728258106 is not.

Almost surely, 2^785364129053 is an apocalyptic number.

It is an amenable number.

785364129053 is a deficient number, since it is larger than the sum of its proper divisors (133119664867).

785364129053 is a wasteful number, since it uses less digits than its factorization.

785364129053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145856.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 785364129053 in words is "seven hundred eighty-five billion, three hundred sixty-four million, one hundred twenty-nine thousand, fifty-three".