262148481 has 45 divisors (see below), whose sum is σ = 457319379. Its totient is φ = 149216256.

The previous prime is 262148479. The next prime is 262148489. The reversal of 262148481 is 184841262.

The square root of 262148481 is 16191.

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., 258084225 + 4064256 = 16065^2 + 2016^2 .

It is not a de Polignac number, because 262148481 - 2¹ = 262148479 is a prime.

It is a super-2 number, since 2×262148481² = 137443652181214722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (262148489) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1019905 + ... + 1020161.

Almost surely, 2^262148481 is an apocalyptic number.

262148481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

262148481 is the 16191-st square number.

262148481 is the 8096-th centered octagonal number.

It is an amenable number.

262148481 is a deficient number, since it is larger than the sum of its proper divisors (195170898).

262148481 is an frugal number, since it uses more digits than its factorization.

262148481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 267 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The cubic root of 262148481 is about 640.0036466264.

Multiplying 262148481 by its sum of digits (36), we get a square (9437345316 = 97146²).

The spelling of 262148481 in words is "two hundred sixty-two million, one hundred forty-eight thousand, four hundred eighty-one".