1003052255661 has 80 divisors (see below), whose sum is σ = 1532726118000. Its totient is φ = 653532364800.

The previous prime is 1003052255629. The next prime is 1003052255669. The reversal of 1003052255661 is 1665522503001.

1003052255661 is a `hidden beast` number, since 10 + 0 + 30 + 5 + 2 + 2 + 556 + 61 = 666.

1003052255661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25979314761 + 977072940900 = 161181^2 + 988470^2 .

It is not a de Polignac number, because 1003052255661 - 2⁵ = 1003052255629 is a prime.

It is a super-2 number, since 2×1003052255661² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003052255669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 623400225 + ... + 623401833.

It is an arithmetic number, because the mean of its divisors is an integer number (19159076475).

Almost surely, 2^{1003052255661} is an apocalyptic number.

It is an amenable number.

1003052255661 is a deficient number, since it is larger than the sum of its proper divisors (529673862339).

1003052255661 is a wasteful number, since it uses less digits than its factorization.

1003052255661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 1003052255661 its reverse (1665522503001), we get a palindrome (2668574758662).

The spelling of 1003052255661 in words is "one trillion, three billion, fifty-two million, two hundred fifty-five thousand, six hundred sixty-one".