97101254250 has 768 divisors, whose sum is σ = 368205626880. Its totient is φ = 18615744000.

The previous prime is 97101254231. The next prime is 97101254267. The reversal of 97101254250 is 5245210179.

97101254250 is a `hidden beast` number, since 9 + 7 + 101 + 2 + 542 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47296224 + ... + 47298276.

It is an arithmetic number, because the mean of its divisors is an integer number (479434410).

Almost surely, 2^97101254250 is an apocalyptic number.

97101254250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97101254250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184102813440).

97101254250 is an abundant number, since it is smaller than the sum of its proper divisors (271104372630).

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

97101254250 is a wasteful number, since it uses less digits than its factorization.

97101254250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 97101254250 in words is "ninety-seven billion, one hundred one million, two hundred fifty-four thousand, two hundred fifty".