97525456821 has 36 divisors (see below), whose sum is σ = 152599365828. Its totient is φ = 59992238592.

The previous prime is 97525456813. The next prime is 97525456867. The reversal of 97525456821 is 12865452579.

97525456821 is a `hidden beast` number, since 9 + 7 + 5 + 2 + 54 + 568 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32874766596 + 64650690225 = 181314^2 + 254265^2 .

It is not a de Polignac number, because 97525456821 - 2³ = 97525456813 is a prime.

It is a super-2 number, since 2×97525456821² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97525456871) 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 35 ways as a sum of consecutive naturals, for example, 4395271 + ... + 4417403.

It is an arithmetic number, because the mean of its divisors is an integer number (4238871273).

Almost surely, 2^97525456821 is an apocalyptic number.

It is an amenable number.

97525456821 is a deficient number, since it is larger than the sum of its proper divisors (55073909007).

97525456821 is a wasteful number, since it uses less digits than its factorization.

97525456821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25062 (or 25046 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 97525456821 in words is "ninety-seven billion, five hundred twenty-five million, four hundred fifty-six thousand, eight hundred twenty-one".