1427525533681 has 27 divisors (see below), whose sum is σ = 1568493077409. Its totient is φ = 1298632675392.

The previous prime is 1427525533667. The next prime is 1427525533727. The reversal of 1427525533681 is 1863355257241.

The square root of 1427525533681 is 1194791.

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 143609923681 + 1283915610000 = 378959^2 + 1133100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1427525533681 is a prime.

It is a super-2 number, since 2×1427525533681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1427525533481) 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, 1133856030 + ... + 1133857288.

Almost surely, 2^{1427525533681} is an apocalyptic number.

1427525533681 is the 1194791-st square number.

1427525533681 is the 597396-th centered octagonal number.

It is an amenable number.

1427525533681 is a deficient number, since it is larger than the sum of its proper divisors (140967543728).

1427525533681 is an frugal number, since it uses more digits than its factorization.

1427525533681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 52.

The spelling of 1427525533681 in words is "one trillion, four hundred twenty-seven billion, five hundred twenty-five million, five hundred thirty-three thousand, six hundred eighty-one".