610901521952 has 54 divisors (see below), whose sum is σ = 1209936740607. Its totient is φ = 303626930176.

The previous prime is 610901521949. The next prime is 610901521957. The reversal of 610901521952 is 259125109016.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 185385358096 + 425516163856 = 430564^2 + 652316^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=552676.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (610901521957) 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 8 ways as a sum of consecutive naturals, for example, 1030187768 + ... + 1030188360.

Almost surely, 2^610901521952 is an apocalyptic number.

It is an amenable number.

610901521952 is a deficient number, since it is larger than the sum of its proper divisors (599035218655).

610901521952 is an frugal number, since it uses more digits than its factorization.

610901521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 41.

The spelling of 610901521952 in words is "six hundred ten billion, nine hundred one million, five hundred twenty-one thousand, nine hundred fifty-two".