19261960434025 has 81 divisors (see below), whose sum is σ = 24887246436549. Its totient is φ = 14788652112000.

The previous prime is 19261960434011. The next prime is 19261960434047. The reversal of 19261960434025 is 52043406916291.

It is a happy number.

The square root of 19261960434025 is 4388845.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8107669675609 + 11154290758416 = 2847397^2 + 3339804^2 .

It is not a de Polignac number, because 19261960434025 - 2⁵ = 19261960433993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71077344640 + ... + 71077344910.

Almost surely, 2^{19261960434025} is an apocalyptic number.

19261960434025 is the 4388845-th square number.

19261960434025 is the 2194423-rd centered octagonal number.

It is an amenable number.

19261960434025 is a deficient number, since it is larger than the sum of its proper divisors (5625286002524).

19261960434025 is an frugal number, since it uses more digits than its factorization.

19261960434025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 19261960434025 in words is "nineteen trillion, two hundred sixty-one billion, nine hundred sixty million, four hundred thirty-four thousand, twenty-five".