1005288780541 has 8 divisors (see below), whose sum is σ = 1017067102040. Its totient is φ = 993556922688.

The previous prime is 1005288780521. The next prime is 1005288780583. The reversal of 1005288780541 is 1450878825001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78930654916 + 926358125625 = 280946^2 + 962475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005288780541 - 2³³ = 996698845949 is a prime.

It is a super-2 number, since 2×1005288780541² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005288780521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11572386 + ... + 11658931.

It is an arithmetic number, because the mean of its divisors is an integer number (127133387755).

Almost surely, 2^{1005288780541} is an apocalyptic number.

It is an amenable number.

1005288780541 is a deficient number, since it is larger than the sum of its proper divisors (11778321499).

1005288780541 is a wasteful number, since it uses less digits than its factorization.

1005288780541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23231823.

The product of its (nonzero) digits is 716800, while the sum is 49.

The spelling of 1005288780541 in words is "one trillion, five billion, two hundred eighty-eight million, seven hundred eighty thousand, five hundred forty-one".