97251072431 has 32 divisors (see below), whose sum is σ = 105955102080. Its totient is φ = 89014616064.

The previous prime is 97251072419. The next prime is 97251072433. The reversal of 97251072431 is 13427015279.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 97251072431 - 2²⁶ = 97183963567 is a prime.

It is a super-3 number, since 3×97251072431³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97251072433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14614301 + ... + 14620953.

It is an arithmetic number, because the mean of its divisors is an integer number (3311096940).

Almost surely, 2^97251072431 is an apocalyptic number.

97251072431 is a deficient number, since it is larger than the sum of its proper divisors (8704029649).

97251072431 is a wasteful number, since it uses less digits than its factorization.

97251072431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 97251072431 in words is "ninety-seven billion, two hundred fifty-one million, seventy-two thousand, four hundred thirty-one".