1541781639225 has 135 divisors (see below), whose sum is σ = 2931623941719. Its totient is φ = 801035827200.

The previous prime is 1541781639187. The next prime is 1541781639241. The reversal of 1541781639225 is 5229361871451.

The square root of 1541781639225 is 1241685.

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

1541781639225 is a `hidden beast` number, since 1 + 5 + 417 + 81 + 63 + 92 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1527332637609 + 14449001616 = 1235853^2 + 120204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1541781639225 - 2⁹ = 1541781638713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2290908489 + ... + 2290909161.

Almost surely, 2^{1541781639225} is an apocalyptic number.

1541781639225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1541781639225 is the 1241685-th square number.

1541781639225 is the 620843-rd centered octagonal number.

It is an amenable number.

1541781639225 is a deficient number, since it is larger than the sum of its proper divisors (1389842302494).

1541781639225 is an frugal number, since it uses more digits than its factorization.

1541781639225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 722 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 1541781639225 in words is "one trillion, five hundred forty-one billion, seven hundred eighty-one million, six hundred thirty-nine thousand, two hundred twenty-five".