1553503252005 has 12 divisors (see below), whose sum is σ = 2692738970220. Its totient is φ = 828535067712.

The previous prime is 1553503251983. The next prime is 1553503252009. The reversal of 1553503252005 is 5002523053551.

1553503252005 is a `hidden beast` number, since 1 + 5 + 53 + 50 + 32 + 520 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 812280402756 + 741222849249 = 901266^2 + 860943^2 .

It is not a de Polignac number, because 1553503252005 - 2⁸ = 1553503251749 is a prime.

It is a super-2 number, since 2×1553503252005² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553503252009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17261147200 + ... + 17261147289.

It is an arithmetic number, because the mean of its divisors is an integer number (224394914185).

Almost surely, 2^{1553503252005} is an apocalyptic number.

1553503252005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1553503252005 is a deficient number, since it is larger than the sum of its proper divisors (1139235718215).

1553503252005 is a wasteful number, since it uses less digits than its factorization.

1553503252005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34522294500 (or 34522294497 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

It can be divided in two parts, 155350 and 3252005, that added together give a triangular number (3407355 = T₂₆₁₀).

The spelling of 1553503252005 in words is "one trillion, five hundred fifty-three billion, five hundred three million, two hundred fifty-two thousand, five".