1540634535729 has 27 divisors (see below), whose sum is σ = 2273974827033. Its totient is φ = 1005122525832.

The previous prime is 1540634535707. The next prime is 1540634535733. The reversal of 1540634535729 is 9275354360451.

The square root of 1540634535729 is 1241223.

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

1540634535729 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 6 + 34 + 535 + 72 + 9 = 666.

It is not a de Polignac number, because 1540634535729 - 2⁵ = 1540634535697 is a prime.

It is a super-2 number, since 2×1540634535729² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1540634535779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175008042 + ... + 175016844.

Almost surely, 2^{1540634535729} is an apocalyptic number.

1540634535729 is the 1241223-rd square number.

1540634535729 is the 620612-nd centered octagonal number.

It is an amenable number.

1540634535729 is a deficient number, since it is larger than the sum of its proper divisors (733340291304).

1540634535729 is an frugal number, since it uses more digits than its factorization.

1540634535729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17706 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 1540634535729 in words is "one trillion, five hundred forty billion, six hundred thirty-four million, five hundred thirty-five thousand, seven hundred twenty-nine".