251742024121 has 27 divisors (see below), whose sum is σ = 295069841901. Its totient is φ = 214150233024.

The previous prime is 251742024097. The next prime is 251742024181. The reversal of 251742024121 is 121420247152.

The square root of 251742024121 is 501739.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8531293225 + 243210730896 = 92365^2 + 493164^2 .

It is not a de Polignac number, because 251742024121 - 2¹¹ = 251742022073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251742024181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 804287461 + ... + 804287773.

It is an arithmetic number, because the mean of its divisors is an integer number (10928512663).

Almost surely, 2^251742024121 is an apocalyptic number.

251742024121 is the 501739-th square number.

251742024121 is the 250870-th centered octagonal number.

It is an amenable number.

251742024121 is a deficient number, since it is larger than the sum of its proper divisors (43327817780).

251742024121 is an frugal number, since it uses more digits than its factorization.

251742024121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 251742024121 in words is "two hundred fifty-one billion, seven hundred forty-two million, twenty-four thousand, one hundred twenty-one".