97272048601 has 12 divisors (see below), whose sum is σ = 121857292452. Its totient is φ = 76962499488.

The previous prime is 97272048593. The next prime is 97272048623. The reversal of 97272048601 is 10684027279.

It can be written as a sum of positive squares in 2 ways, for example, as 10506455001 + 86765593600 = 102501^2 + 294560^2 .

It is not a de Polignac number, because 97272048601 - 2³ = 97272048593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97272048301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76351050 + ... + 76352323.

It is an arithmetic number, because the mean of its divisors is an integer number (10154774371).

Almost surely, 2^97272048601 is an apocalyptic number.

97272048601 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

97272048601 is a deficient number, since it is larger than the sum of its proper divisors (24585243851).

97272048601 is a wasteful number, since it uses less digits than its factorization.

97272048601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152703400 (or 152703393 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 97272048601 in words is "ninety-seven billion, two hundred seventy-two million, forty-eight thousand, six hundred one".