97254777745279 has 32 divisors (see below), whose sum is σ = 125168121446400. Its totient is φ = 73335969064800.

The previous prime is 97254777745267. The next prime is 97254777745331.

97254777745279 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 97254777745279 - 2²³ = 97254769356671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97254777745079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75263572 + ... + 76544854.

It is an arithmetic number, because the mean of its divisors is an integer number (3911503795200).

Almost surely, 2^{97254777745279} is an apocalyptic number.

97254777745279 is a deficient number, since it is larger than the sum of its proper divisors (27913343701121).

97254777745279 is a wasteful number, since it uses less digits than its factorization.

97254777745279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313131.

The product of its digits is 15247310400, while the sum is 82.

The spelling of 97254777745279 in words is "ninety-seven trillion, two hundred fifty-four billion, seven hundred seventy-seven million, seven hundred forty-five thousand, two hundred seventy-nine".