19525360400001 has 27 divisors (see below), whose sum is σ = 28466524630089. Its totient is φ = 12896531318592.

The previous prime is 19525360399931. The next prime is 19525360400027. The reversal of 19525360400001 is 10000406352591.

The square root of 19525360400001 is 4418751.

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

19525360400001 is a `hidden beast` number, since 195 + 2 + 5 + 3 + 60 + 400 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1015368599025 + 18509991800976 = 1007655^2 + 4302324^2 .

It is not a de Polignac number, because 19525360400001 - 2¹⁷ = 19525360268929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19525360400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1444924821 + ... + 1444938333.

Almost surely, 2^{19525360400001} is an apocalyptic number.

19525360400001 is the 4418751-st square number.

19525360400001 is the 2209376-th centered octagonal number.

It is an amenable number.

19525360400001 is a deficient number, since it is larger than the sum of its proper divisors (8941164230088).

19525360400001 is an frugal number, since it uses more digits than its factorization.

19525360400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27250 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 19525360400001 by its sum of digits (36), we get a square (702912974400036 = 26512506²).

Adding to 19525360400001 its reverse (10000406352591), we get a palindrome (29525766752592).

The spelling of 19525360400001 in words is "nineteen trillion, five hundred twenty-five billion, three hundred sixty million, four hundred thousand, one".