19741655025 has 243 divisors, whose sum is σ = 41056937571. Its totient is φ = 9064258560.

The previous prime is 19741654937. The next prime is 19741655027. The reversal of 19741655025 is 52055614791.

It is a happy number.

The square root of 19741655025 is 140505.

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

19741655025 is a `hidden beast` number, since 1 + 9 + 74 + 1 + 6 + 550 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6431879601 + 13309775424 = 80199^2 + 115368^2 .

It is not a de Polignac number, because 19741655025 - 2¹¹ = 19741652977 is a prime.

It is a super-2 number, since 2×19741655025² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19741655027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 680746711 + ... + 680746739.

Almost surely, 2^19741655025 is an apocalyptic number.

19741655025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19741655025 is the 140505-th square number.

19741655025 is the 70253-rd centered octagonal number.

It is an amenable number.

19741655025 is an abundant number, since it is smaller than the sum of its proper divisors (21315282546).

19741655025 is a wasteful number, since it uses less digits than its factorization.

19741655025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 19741655025 in words is "nineteen billion, seven hundred forty-one million, six hundred fifty-five thousand, twenty-five".