1338901281 has 9 divisors (see below), whose sum is σ = 1934127091. Its totient is φ = 892527672.

The previous prime is 1338901247. The next prime is 1338901307. The reversal of 1338901281 is 1821098331.

The square root of 1338901281 is 36591.

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

It can be written as a sum of positive squares in only one way, i.e., 950180625 + 388720656 = 30825^2 + 19716^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1338901281 - 2²⁵ = 1305346849 is a prime.

It is a super-2 number, since 2×1338901281² = 3585313280526881922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338901981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103675 + ... + 115871.

Almost surely, 2^1338901281 is an apocalyptic number.

1338901281 is the 36591-st square number.

1338901281 is the 18296-th centered octagonal number.

It is an amenable number.

1338901281 is a deficient number, since it is larger than the sum of its proper divisors (595225810).

1338901281 is an frugal number, since it uses more digits than its factorization.

1338901281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24400 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 1338901281 is about 1102.1723684405.

Multiplying 1338901281 by its sum of digits (36), we get a square (48200446116 = 219546²).

The spelling of 1338901281 in words is "one billion, three hundred thirty-eight million, nine hundred one thousand, two hundred eighty-one".