242525715961 has 9 divisors (see below), whose sum is σ = 245100033549. Its totient is φ = 239978173824.

The previous prime is 242525715937. The next prime is 242525716003. The reversal of 242525715961 is 169517525242.

The square root of 242525715961 is 492469.

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 69685968361 + 172839747600 = 263981^2 + 415740^2 .

It is not a de Polignac number, because 242525715961 - 2⁷ = 242525715833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242525715161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47766955 + ... + 47772031.

It is an arithmetic number, because the mean of its divisors is an integer number (27233337061).

Almost surely, 2^242525715961 is an apocalyptic number.

242525715961 is the 492469-th square number.

242525715961 is the 246235-th centered octagonal number.

It is an amenable number.

242525715961 is a deficient number, since it is larger than the sum of its proper divisors (2574317588).

242525715961 is an frugal number, since it uses more digits than its factorization.

242525715961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 5174 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 49.

Multiplying 242525715961 by its sum of digits (49), we get a square (11883760082089 = 3447283²).

The spelling of 242525715961 in words is "two hundred forty-two billion, five hundred twenty-five million, seven hundred fifteen thousand, nine hundred sixty-one".