610501011001 has 16 divisors (see below), whose sum is σ = 714949740288. Its totient is φ = 510368601600.

The previous prime is 610501010993. The next prime is 610501011007. The reversal of 610501011001 is 100110105016.

It is a cyclic number.

It is not a de Polignac number, because 610501011001 - 2³ = 610501010993 is a prime.

It is a super-2 number, since 2×610501011001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (610501011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629796 + ... + 1271866.

It is an arithmetic number, because the mean of its divisors is an integer number (44684358768).

Almost surely, 2^610501011001 is an apocalyptic number.

It is an amenable number.

610501011001 is a deficient number, since it is larger than the sum of its proper divisors (104448729287).

610501011001 is a wasteful number, since it uses less digits than its factorization.

610501011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645432.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 610501011001 its reverse (100110105016), we get a palindrome (710611116017).

The spelling of 610501011001 in words is "six hundred ten billion, five hundred one million, eleven thousand, one".