76542528001 has 8 divisors (see below), whose sum is σ = 79899956264. Its totient is φ = 73252926720.

The previous prime is 76542527987. The next prime is 76542528031. The reversal of 76542528001 is 10082524567.

It can be written as a sum of positive squares in 4 ways, for example, as 1159334401 + 75383193600 = 34049^2 + 274560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76542528001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76542528031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16954440 + ... + 16958953.

It is an arithmetic number, because the mean of its divisors is an integer number (9987494533).

Almost surely, 2^76542528001 is an apocalyptic number.

It is an amenable number.

76542528001 is a deficient number, since it is larger than the sum of its proper divisors (3357428263).

76542528001 is a wasteful number, since it uses less digits than its factorization.

76542528001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33913491.

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 76542528001 in words is "seventy-six billion, five hundred forty-two million, five hundred twenty-eight thousand, one".