1005601000501 has 8 divisors (see below), whose sum is σ = 1040308680600. Its totient is φ = 970895439360.

The previous prime is 1005601000477. The next prime is 1005601000517. The reversal of 1005601000501 is 1050001065001.

1005601000501 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 4 ways, for example, as 28409439601 + 977191560900 = 168551^2 + 988530^2 .

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 1005601000501 - 2⁹ = 1005600999989 is a prime.

It is a super-2 number, since 2×1005601000501² (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 (1005601000541) 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, 467641 + ... + 1493281.

It is an arithmetic number, because the mean of its divisors is an integer number (130038585075).

Almost surely, 2^{1005601000501} is an apocalyptic number.

It is an amenable number.

1005601000501 is a deficient number, since it is larger than the sum of its proper divisors (34707680099).

1005601000501 is a wasteful number, since it uses less digits than its factorization.

1005601000501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059479.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 1005601000501 its reverse (1050001065001), we get a palindrome (2055602065502).

The spelling of 1005601000501 in words is "one trillion, five billion, six hundred one million, five hundred one", and thus it is an aban number.