97512552900 has 243 divisors, whose sum is σ = 355788607629. Its totient is φ = 22273594560.

The previous prime is 97512552881. The next prime is 97512552931. The reversal of 97512552900 is 925521579.

The square root of 97512552900 is 312270.

It is a perfect power (a square), and thus also a powerful number.

97512552900 is a `hidden beast` number, since 9 + 7 + 5 + 1 + 2 + 552 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35104519044 + 62408033856 = 187362^2 + 249816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65575957 + ... + 65577443.

Almost surely, 2^97512552900 is an apocalyptic number.

97512552900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97512552900 is the 312270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97512552900

97512552900 is an abundant number, since it is smaller than the sum of its proper divisors (258276054729).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97512552900 is a wasteful number, since it uses less digits than its factorization.

97512552900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 97512552900 in words is "ninety-seven billion, five hundred twelve million, five hundred fifty-two thousand, nine hundred".