75842309145001 has 27 divisors (see below), whose sum is σ = 88912701352407. Its totient is φ = 64504658793120.

The previous prime is 75842309144993. The next prime is 75842309145013. The reversal of 75842309145001 is 10054190324857.

It is a happy number.

The square root of 75842309145001 is 8708749.

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

It can be written as a sum of positive squares in only one way, i.e., 3551095269225 + 72291213875776 = 1884435^2 + 8502424^2 .

It is not a de Polignac number, because 75842309145001 - 2³ = 75842309144993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75842309143001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7985918085 + ... + 7985927581.

Almost surely, 2^{75842309145001} is an apocalyptic number.

75842309145001 is the 8708749-th square number.

75842309145001 is the 4354375-th centered octagonal number.

It is an amenable number.

75842309145001 is a deficient number, since it is larger than the sum of its proper divisors (13070392207406).

75842309145001 is an frugal number, since it uses more digits than its factorization.

75842309145001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

75842309145001 divided by its sum of digits (49) gives a square (1547802227449 = 1244107²).

Adding to 75842309145001 its reverse (10054190324857), we get a palindrome (85896499469858).

The spelling of 75842309145001 in words is "seventy-five trillion, eight hundred forty-two billion, three hundred nine million, one hundred forty-five thousand, one".