19800711225 has 135 divisors (see below), whose sum is σ = 38027199133. Its totient is φ = 10185514560.

The previous prime is 19800711181. The next prime is 19800711239. The reversal of 19800711225 is 52211700891.

19800711225 = 1³ + 2³ + ... + 530³.

It is a happy number.

The square root of 19800711225 is 140715.

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 149157369 + 19651553856 = 12213^2 + 140184^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 19800711225 - 2²³ = 19792322617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19800711225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 335605246 + ... + 335605304.

Almost surely, 2^19800711225 is an apocalyptic number.

19800711225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19800711225 is the 140715-th square number.

19800711225 is the 70358-th centered octagonal number.

It is an amenable number.

19800711225 is a deficient number, since it is larger than the sum of its proper divisors (18226487908).

19800711225 is an frugal number, since it uses more digits than its factorization.

19800711225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 19800711225 by its sum of digits (36), we get a square (712825604100 = 844290²).

It can be divided in two parts, 19800 and 711225, that added together give a square (731025 = 855²).

The spelling of 19800711225 in words is "nineteen billion, eight hundred million, seven hundred eleven thousand, two hundred twenty-five".