1540985553 has 80 divisors (see below), whose sum is σ = 2510101440. Its totient is φ = 938594304.

The previous prime is 1540985521. The next prime is 1540985573. The reversal of 1540985553 is 3555890451.

1540985553 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 98 + 5 + 553 = 666.

It is not a de Polignac number, because 1540985553 - 2⁵ = 1540985521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1540985499 and 1540985508.

It is not an unprimeable number, because it can be changed into a prime (1540985503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11086158 + ... + 11086296.

It is an arithmetic number, because the mean of its divisors is an integer number (31376268).

Almost surely, 2^1540985553 is an apocalyptic number.

It is an amenable number.

1540985553 is a deficient number, since it is larger than the sum of its proper divisors (969115887).

1540985553 is a wasteful number, since it uses less digits than its factorization.

1540985553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 1540985553 is about 39255.3888402599. The cubic root of 1540985553 is about 1155.0466434191.

The spelling of 1540985553 in words is "one billion, five hundred forty million, nine hundred eighty-five thousand, five hundred fifty-three".