157292353201 has 3 divisors (see below), whose sum is σ = 157292749803. Its totient is φ = 157291956600.

The previous prime is 157292353193. The next prime is 157292353223. The reversal of 157292353201 is 102353292751.

The square root of 157292353201 is 396601.

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.

It can be written as a sum of positive squares in only one way, i.e., 146039386801 + 11252966400 = 382151^2 + 106080^2 .

It is not a de Polignac number, because 157292353201 - 2³ = 157292353193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157292354201) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 198301 + ... + 594901.

It is an arithmetic number, because the mean of its divisors is an integer number (52430916601).

Almost surely, 2^157292353201 is an apocalyptic number.

157292353201 is the 396601-st square number.

157292353201 is the 198301-st centered octagonal number.

It is an amenable number.

157292353201 is a deficient number, since it is larger than the sum of its proper divisors (396602).

157292353201 is an frugal number, since it uses more digits than its factorization.

157292353201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793202 (or 396601 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 157292353201 in words is "one hundred fifty-seven billion, two hundred ninety-two million, three hundred fifty-three thousand, two hundred one".