73513500241 has 8 divisors (see below), whose sum is σ = 75318279624. Its totient is φ = 71709281280.

The previous prime is 73513500233. The next prime is 73513500251. The reversal of 73513500241 is 14200531537.

73513500241 = 191720² + 191721².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1959390225 + 71554110016 = 44265^2 + 267496^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 73513500241 - 2³ = 73513500233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73513500251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131865 + ... + 405481.

It is an arithmetic number, because the mean of its divisors is an integer number (9414784953).

Almost surely, 2^73513500241 is an apocalyptic number.

73513500241 is the 191721-st centered square number.

It is an amenable number.

73513500241 is a deficient number, since it is larger than the sum of its proper divisors (1804779383).

73513500241 is a wasteful number, since it uses less digits than its factorization.

73513500241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280211.

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 73513500241 in words is "seventy-three billion, five hundred thirteen million, five hundred thousand, two hundred forty-one".