75862375429801 has 9 divisors (see below), whose sum is σ = 76285405489509. Its totient is φ = 75441678501600.

The previous prime is 75862375429777. The next prime is 75862375429807. The reversal of 75862375429801 is 10892457326857.

The square root of 75862375429801 is 8709901.

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 14289163570201 + 61573211859600 = 3780101^2 + 7846860^2 .

It is not a de Polignac number, because 75862375429801 - 2⁵ = 75862375429769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75862375429807) 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, 1576468021 + ... + 1576516141.

It is an arithmetic number, because the mean of its divisors is an integer number (8476156165501).

It is a 1-persistent number, because it is pandigital, but 2⋅75862375429801 = 151724750859602 is not.

Almost surely, 2^{75862375429801} is an apocalyptic number.

75862375429801 is the 8709901-st square number.

75862375429801 is the 4354951-st centered octagonal number.

It is an amenable number.

75862375429801 is a deficient number, since it is larger than the sum of its proper divisors (423030059708).

75862375429801 is an frugal number, since it uses more digits than its factorization.

75862375429801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96604 (or 48302 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 67.

The spelling of 75862375429801 in words is "seventy-five trillion, eight hundred sixty-two billion, three hundred seventy-five million, four hundred twenty-nine thousand, eight hundred one".