1385253961 has 27 divisors (see below), whose sum is σ = 1749184821. Its totient is φ = 1093345344.

The previous prime is 1385253953. The next prime is 1385254001. The reversal of 1385253961 is 1693525831.

The square root of 1385253961 is 37219.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12996025 + 1372257936 = 3605^2 + 37044^2 .

It is not a de Polignac number, because 1385253961 - 2³ = 1385253953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1385253911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3386725 + ... + 3387133.

It is an arithmetic number, because the mean of its divisors is an integer number (64784623).

Almost surely, 2^1385253961 is an apocalyptic number.

1385253961 is the 37219-th square number.

1385253961 is the 18610-th centered octagonal number.

It is an amenable number.

1385253961 is a deficient number, since it is larger than the sum of its proper divisors (363930860).

1385253961 is an frugal number, since it uses more digits than its factorization.

1385253961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The cubic root of 1385253961 is about 1114.7473969119.

The spelling of 1385253961 in words is "one billion, three hundred eighty-five million, two hundred fifty-three thousand, nine hundred sixty-one".