13042659753519 has 32 divisors (see below), whose sum is σ = 19970027193600. Its totient is φ = 7488456744960.

The previous prime is 13042659753469. The next prime is 13042659753527. The reversal of 13042659753519 is 91535795624031.

It is a happy number.

It is not a de Polignac number, because 13042659753519 - 2¹² = 13042659749423 is a prime.

It is a super-2 number, since 2×13042659753519² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042659753919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35612617 + ... + 35976989.

It is an arithmetic number, because the mean of its divisors is an integer number (624063349800).

Almost surely, 2^{13042659753519} is an apocalyptic number.

13042659753519 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13042659753519 is a deficient number, since it is larger than the sum of its proper divisors (6927367440081).

13042659753519 is a wasteful number, since it uses less digits than its factorization.

13042659753519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421495.

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 13042659753519 in words is "thirteen trillion, forty-two billion, six hundred fifty-nine million, seven hundred fifty-three thousand, five hundred nineteen".