1385131617 has 16 divisors (see below), whose sum is σ = 2053013760. Its totient is φ = 922986000.

The previous prime is 1385131603. The next prime is 1385131621. The reversal of 1385131617 is 7161315831.

1385131617 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 1 + 31 + 617 = 666.

It is not a de Polignac number, because 1385131617 - 2¹² = 1385127521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1385131637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52567 + ... + 74387.

It is an arithmetic number, because the mean of its divisors is an integer number (128313360).

Almost surely, 2^1385131617 is an apocalyptic number.

It is an amenable number.

1385131617 is a deficient number, since it is larger than the sum of its proper divisors (667882143).

1385131617 is a wasteful number, since it uses less digits than its factorization.

1385131617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24181 (or 24175 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1385131617 is about 37217.3563945641. The cubic root of 1385131617 is about 1114.7145782195.

The spelling of 1385131617 in words is "one billion, three hundred eighty-five million, one hundred thirty-one thousand, six hundred seventeen".