75817961437201 has 3 divisors (see below), whose sum is σ = 75817970144553. Its totient is φ = 75817952729850.

The previous prime is 75817961437147. The next prime is 75817961437243. The reversal of 75817961437201 is 10273416971857.

The square root of 75817961437201 is 8707351.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 75817961437201 - 2⁷ = 75817961437073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75817961437201.

It is not an unprimeable number, because it can be changed into a prime (75817961437901) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4353676 + ... + 13061026.

It is an arithmetic number, because the mean of its divisors is an integer number (25272656714851).

It is a 2-persistent number, because it is pandigital, and so is 2⋅75817961437201 = 151635922874402, but 3⋅75817961437201 = 227453884311603 is not.

Almost surely, 2^{75817961437201} is an apocalyptic number.

75817961437201 is the 8707351-st square number.

75817961437201 is the 4353676-th centered octagonal number.

It is an amenable number.

75817961437201 is a deficient number, since it is larger than the sum of its proper divisors (8707352).

75817961437201 is an frugal number, since it uses more digits than its factorization.

75817961437201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17414702 (or 8707351 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 75817961437201 in words is "seventy-five trillion, eight hundred seventeen billion, nine hundred sixty-one million, four hundred thirty-seven thousand, two hundred one".