97142505759 has 48 divisors (see below), whose sum is σ = 160040200320. Its totient is φ = 56286031680.

The previous prime is 97142505749. The next prime is 97142505793. The reversal of 97142505759 is 95750524179.

It is a happy number.

97142505759 is a `hidden beast` number, since 9 + 7 + 14 + 2 + 50 + 575 + 9 = 666.

It is not a de Polignac number, because 97142505759 - 2⁴ = 97142505743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97142505749) 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 47 ways as a sum of consecutive naturals, for example, 228304 + ... + 496394.

It is an arithmetic number, because the mean of its divisors is an integer number (3334170840).

Almost surely, 2^97142505759 is an apocalyptic number.

97142505759 is a deficient number, since it is larger than the sum of its proper divisors (62897694561).

97142505759 is a wasteful number, since it uses less digits than its factorization.

97142505759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268292 (or 268289 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 97142505759 in words is "ninety-seven billion, one hundred forty-two million, five hundred five thousand, seven hundred fifty-nine".