542809101519 has 32 divisors (see below), whose sum is σ = 814090233600. Its totient is φ = 357407436960.

The previous prime is 542809101449. The next prime is 542809101547. The reversal of 542809101519 is 915101908245.

542809101519 is a `hidden beast` number, since 5 + 4 + 28 + 0 + 9 + 101 + 519 = 666.

It is not a de Polignac number, because 542809101519 - 2¹² = 542809097423 is a prime.

It is a super-2 number, since 2×542809101519² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542809101599) 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 31 ways as a sum of consecutive naturals, for example, 7968697 + ... + 8036525.

It is an arithmetic number, because the mean of its divisors is an integer number (25440319800).

Almost surely, 2^542809101519 is an apocalyptic number.

542809101519 is a deficient number, since it is larger than the sum of its proper divisors (271281132081).

542809101519 is a wasteful number, since it uses less digits than its factorization.

542809101519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71492 (or 71486 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 542809101519 in words is "five hundred forty-two billion, eight hundred nine million, one hundred one thousand, five hundred nineteen".