1005525077561 has 8 divisors (see below), whose sum is σ = 1016057883624. Its totient is φ = 994995671040.

The previous prime is 1005525077551. The next prime is 1005525077597. The reversal of 1005525077561 is 1657705255001.

It can be written as a sum of positive squares in 4 ways, for example, as 28432367161 + 977092710400 = 168619^2 + 988480^2 .

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 1005525077561 - 2¹⁰ = 1005525076537 is a prime.

It is a super-2 number, since 2×1005525077561² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005525077551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253040 + ... + 1440513.

It is an arithmetic number, because the mean of its divisors is an integer number (127007235453).

Almost surely, 2^{1005525077561} is an apocalyptic number.

It is an amenable number.

1005525077561 is a deficient number, since it is larger than the sum of its proper divisors (10532806063).

1005525077561 is an equidigital number, since it uses as much as digits as its factorization.

1005525077561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699771.

The product of its (nonzero) digits is 367500, while the sum is 44.

The spelling of 1005525077561 in words is "one trillion, five billion, five hundred twenty-five million, seventy-seven thousand, five hundred sixty-one".