97531914601 has 45 divisors (see below), whose sum is σ = 112373942005. Its totient is φ = 84646063040.

The previous prime is 97531914577. The next prime is 97531914607. The reversal of 97531914601 is 10641913579.

The square root of 97531914601 is 312301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8930439001 + 88601475600 = 94501^2 + 297660^2 .

It is not a de Polignac number, because 97531914601 - 2¹¹ = 97531912553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97531914607) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1095864165 + ... + 1095864253.

Almost surely, 2^97531914601 is an apocalyptic number.

97531914601 is the 312301-st square number.

97531914601 is the 156151-st centered octagonal number.

It is an amenable number.

97531914601 is a deficient number, since it is larger than the sum of its proper divisors (14842027404).

97531914601 is an frugal number, since it uses more digits than its factorization.

97531914601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 97531914601 in words is "ninety-seven billion, five hundred thirty-one million, nine hundred fourteen thousand, six hundred one".