120583257001 has 3 divisors (see below), whose sum is σ = 120583604253. Its totient is φ = 120582909750.

The previous prime is 120583256987. The next prime is 120583257007. The reversal of 120583257001 is 100752385021.

The square root of 120583257001 is 347251.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100752385021 = 37 ⋅2723037433.

It is not a de Polignac number, because 120583257001 - 2²¹ = 120581159849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120583257007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 173626 + ... + 520876.

It is an arithmetic number, because the mean of its divisors is an integer number (40194534751).

Almost surely, 2^120583257001 is an apocalyptic number.

120583257001 is the 347251-st square number.

120583257001 is the 173626-th centered octagonal number.

It is an amenable number.

120583257001 is a deficient number, since it is larger than the sum of its proper divisors (347252).

120583257001 is an frugal number, since it uses more digits than its factorization.

120583257001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694502 (or 347251 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 120583257001 in words is "one hundred twenty billion, five hundred eighty-three million, two hundred fifty-seven thousand, one".