96875940001 has 9 divisors (see below), whose sum is σ = 97241160153. Its totient is φ = 96512089920.

The previous prime is 96875939981. The next prime is 96875940017. The reversal of 96875940001 is 10004957869.

The square root of 96875940001 is 311249.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5768554401 + 91107385600 = 75951^2 + 301840^2 .

It is not a de Polignac number, because 96875940001 - 2¹³ = 96875931809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96875940041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127300461 + ... + 127301221.

Almost surely, 2^96875940001 is an apocalyptic number.

96875940001 is the 311249-th square number.

96875940001 is the 155625-th centered octagonal number.

It is an amenable number.

96875940001 is a deficient number, since it is larger than the sum of its proper divisors (365220152).

96875940001 is an frugal number, since it uses more digits than its factorization.

96875940001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 96875940001 by its sum of digits (49), we get a square (4746921060049 = 2178743²).

The spelling of 96875940001 in words is "ninety-six billion, eight hundred seventy-five million, nine hundred forty thousand, one".