240151251321225 has 30 divisors (see below), whose sum is σ = 444843132698030. Its totient is φ = 128080667370240.

The previous prime is 240151251321203. The next prime is 240151251321229. The reversal of 240151251321225 is 522123152151042.

240151251321225 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 5 + 12 + 513 + 2 + 122 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 79522394806089 + 160628856515136 = 8917533^2 + 12673944^2 .

It is not a de Polignac number, because 240151251321225 - 2¹⁵ = 240151251288457 is a prime.

It is a super-2 number, since 2×240151251321225² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240151251321225.

It is not an unprimeable number, because it can be changed into a prime (240151251321229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59296603240 + ... + 59296607289.

Almost surely, 2^{240151251321225} is an apocalyptic number.

240151251321225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240151251321225 is a deficient number, since it is larger than the sum of its proper divisors (204691881376805).

240151251321225 is a wasteful number, since it uses less digits than its factorization.

240151251321225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118593210551 (or 118593210537 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 240151251321225 in words is "two hundred forty trillion, one hundred fifty-one billion, two hundred fifty-one million, three hundred twenty-one thousand, two hundred twenty-five".