19219359552121 has 27 divisors (see below), whose sum is σ = 20068635892527. Its totient is φ = 18405388698480.

The previous prime is 19219359552061. The next prime is 19219359552131. The reversal of 19219359552121 is 12125595391291.

The square root of 19219359552121 is 4383989.

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

It can be written as a sum of positive squares in only one way, i.e., 18996042818025 + 223316734096 = 4358445^2 + 472564^2 .

It is not a de Polignac number, because 19219359552121 - 2³¹ = 19217212068473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19219359552131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13998076191 + ... + 13998077563.

Almost surely, 2^{19219359552121} is an apocalyptic number.

19219359552121 is the 4383989-th square number.

19219359552121 is the 2191995-th centered octagonal number.

It is an amenable number.

19219359552121 is a deficient number, since it is larger than the sum of its proper divisors (849276340406).

19219359552121 is an frugal number, since it uses more digits than its factorization.

19219359552121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 1507 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 55.

The spelling of 19219359552121 in words is "nineteen trillion, two hundred nineteen billion, three hundred fifty-nine million, five hundred fifty-two thousand, one hundred twenty-one".