19400311225 has 27 divisors (see below), whose sum is σ = 24407698503. Its totient is φ = 15296835840.

The previous prime is 19400311223. The next prime is 19400311241. The reversal of 19400311225 is 52211300491.

The square root of 19400311225 is 139285.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16544905129 + 2855406096 = 128627^2 + 53436^2 .

It is not a de Polignac number, because 19400311225 - 2¹ = 19400311223 is a prime.

It is a super-2 number, since 2×19400311225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19400311193 and 19400311202.

It is not an unprimeable number, because it can be changed into a prime (19400311223) 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, 61981669 + ... + 61981981.

Almost surely, 2^19400311225 is an apocalyptic number.

19400311225 is the 139285-th square number.

19400311225 is the 69643-rd centered octagonal number.

It is an amenable number.

19400311225 is a deficient number, since it is larger than the sum of its proper divisors (5007387278).

19400311225 is an frugal number, since it uses more digits than its factorization.

19400311225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

It can be divided in two parts, 19400 and 311225, that added together give a square (330625 = 575²).

The spelling of 19400311225 in words is "nineteen billion, four hundred million, three hundred eleven thousand, two hundred twenty-five".