242072521 has 24 divisors (see below), whose sum is σ = 267638784. Its totient is φ = 218661120.

The previous prime is 242072507. The next prime is 242072533. The reversal of 242072521 is 125270242.

It is not a de Polignac number, because 242072521 - 2⁵ = 242072489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242072581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085416 + ... + 1085638.

It is an arithmetic number, because the mean of its divisors is an integer number (11151616).

Almost surely, 2^242072521 is an apocalyptic number.

It is an amenable number.

242072521 is a deficient number, since it is larger than the sum of its proper divisors (25566263).

242072521 is a wasteful number, since it uses less digits than its factorization.

242072521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 242072521 is about 15558.6799247237. The cubic root of 242072521 is about 623.2302112064.

The spelling of 242072521 in words is "two hundred forty-two million, seventy-two thousand, five hundred twenty-one".