96752724601 has 27 divisors (see below), whose sum is σ = 106580387853. Its totient is φ = 87791034240.

The previous prime is 96752724589. The next prime is 96752724619. The reversal of 96752724601 is 10642725769.

It is a happy number.

The square root of 96752724601 is 311051.

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 33580929001 + 63171795600 = 183251^2 + 251340^2 .

It is not a de Polignac number, because 96752724601 - 2⁵ = 96752724569 is a prime.

It is a super-2 number, since 2×96752724601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96752724001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287099905 + ... + 287100241.

Almost surely, 2^96752724601 is an apocalyptic number.

96752724601 is the 311051-st square number.

96752724601 is the 155526-th centered octagonal number.

It is an amenable number.

96752724601 is a deficient number, since it is larger than the sum of its proper divisors (9827663252).

96752724601 is an frugal number, since it uses more digits than its factorization.

96752724601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 96752724601 by its sum of digits (49), we get a square (4740883505449 = 2177357²).

The spelling of 96752724601 in words is "ninety-six billion, seven hundred fifty-two million, seven hundred twenty-four thousand, six hundred one".