73525488452537 has 48 divisors (see below), whose sum is σ = 82616199296400. Its totient is φ = 65362091857920.

The previous prime is 73525488452503. The next prime is 73525488452567.

73525488452537 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 46291952984761 + 27233535467776 = 6803819^2 + 5218576^2 .

It is not a de Polignac number, because 73525488452537 - 2³⁶ = 73456768975801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73525488452567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5857198253 + ... + 5857210805.

It is an arithmetic number, because the mean of its divisors is an integer number (1721170818675).

Almost surely, 2^{73525488452537} is an apocalyptic number.

It is an amenable number.

73525488452537 is a deficient number, since it is larger than the sum of its proper divisors (9090710843863).

73525488452537 is a wasteful number, since it uses less digits than its factorization.

73525488452537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15594 (or 15583 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 68.

The spelling of 73525488452537 in words is "seventy-three trillion, five hundred twenty-five billion, four hundred eighty-eight million, four hundred fifty-two thousand, five hundred thirty-seven".