121524051609 has 9 divisors (see below), whose sum is σ = 175536251839. Its totient is φ = 81015337200.

The previous prime is 121524051569. The next prime is 121524051641. The reversal of 121524051609 is 906150425121.

The square root of 121524051609 is 348603.

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

121524051609 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 40 + 5 + 1 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38026170009 + 83497881600 = 195003^2 + 288960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-121524051609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121524051679) 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, 987709 + ... + 1103909.

Almost surely, 2^121524051609 is an apocalyptic number.

121524051609 is the 348603-rd square number.

121524051609 is the 174302-nd centered octagonal number.

It is an amenable number.

121524051609 is a deficient number, since it is larger than the sum of its proper divisors (54012200230).

121524051609 is an frugal number, since it uses more digits than its factorization.

121524051609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232408 (or 116204 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 121524051609 by its sum of digits (36), we get a square (4374865857924 = 2091618²).

The spelling of 121524051609 in words is "one hundred twenty-one billion, five hundred twenty-four million, fifty-one thousand, six hundred nine".