42498495313569 has 45 divisors (see below), whose sum is σ = 64584928756227. Its totient is φ = 27849852580176.

The previous prime is 42498495313537. The next prime is 42498495313591. The reversal of 42498495313569 is 96531359489424.

It is a happy number.

The square root of 42498495313569 is 6519087.

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

42498495313569 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 8 + 4 + 9 + 53 + 1 + 3 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3583505790225 + 38914989523344 = 1893015^2 + 6238188^2 .

It is not a de Polignac number, because 42498495313569 - 2⁵ = 42498495313537 is a prime.

It is a super-3 number, since 3×42498495313569³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42498495313497 and 42498495313506.

It is not an unprimeable number, because it can be changed into a prime (42498495313529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3461629059 + ... + 3461641335.

Almost surely, 2^{42498495313569} is an apocalyptic number.

42498495313569 is the 6519087-th square number.

42498495313569 is the 3259544-th centered octagonal number.

It is an amenable number.

42498495313569 is a deficient number, since it is larger than the sum of its proper divisors (22086433442658).

42498495313569 is an frugal number, since it uses more digits than its factorization.

42498495313569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24684 (or 12339 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 42498495313569 in words is "forty-two trillion, four hundred ninety-eight billion, four hundred ninety-five million, three hundred thirteen thousand, five hundred sixty-nine".