19097503064761 has 45 divisors (see below), whose sum is σ = 21974885423589. Its totient is φ = 16584411855000.

The previous prime is 19097503064749. The next prime is 19097503064767. The reversal of 19097503064761 is 16746030579091.

The square root of 19097503064761 is 4370069.

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

It is not a de Polignac number, because 19097503064761 - 2²⁷ = 19097368847033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19097503064696 and 19097503064705.

It is not an unprimeable number, because it can be changed into a prime (19097503064767) 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, 25429431136 + ... + 25429431886.

Almost surely, 2^{19097503064761} is an apocalyptic number.

19097503064761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19097503064761 is the 4370069-th square number.

19097503064761 is the 2185035-th centered octagonal number.

It is an amenable number.

19097503064761 is a deficient number, since it is larger than the sum of its proper divisors (2877382358828).

19097503064761 is an frugal number, since it uses more digits than its factorization.

19097503064761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

The spelling of 19097503064761 in words is "nineteen trillion, ninety-seven billion, five hundred three million, sixty-four thousand, seven hundred sixty-one".