752813993385 has 128 divisors (see below), whose sum is σ = 1359835776000. Its totient is φ = 395123097600.

The previous prime is 752813993381. The next prime is 752813993431. The reversal of 752813993385 is 583399318257.

752813993385 is a `hidden beast` number, since 7 + 528 + 13 + 9 + 93 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 752813993385 - 2² = 752813993381 is a prime.

Its product of digits (48988800) is a multiple of the sum of its prime factors (1200).

It is not an unprimeable number, because it can be changed into a prime (752813993381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1676645641 + ... + 1676646089.

It is an arithmetic number, because the mean of its divisors is an integer number (10623717000).

Almost surely, 2^752813993385 is an apocalyptic number.

It is an amenable number.

752813993385 is a deficient number, since it is larger than the sum of its proper divisors (607021782615).

752813993385 is a wasteful number, since it uses less digits than its factorization.

752813993385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 752813993385 in words is "seven hundred fifty-two billion, eight hundred thirteen million, nine hundred ninety-three thousand, three hundred eighty-five".