120509651025 has 27 divisors (see below), whose sum is σ = 215855501979. Its totient is φ = 64269036720.

The previous prime is 120509651023. The next prime is 120509651029. The reversal of 120509651025 is 520156905021.

The square root of 120509651025 is 347145.

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

120509651025 is a `hidden beast` number, since 1 + 2 + 0 + 50 + 96 + 510 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43383474369 + 77126176656 = 208287^2 + 277716^2 .

It is not a de Polignac number, because 120509651025 - 2¹ = 120509651023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120509651023) 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 26 ways as a sum of consecutive naturals, for example, 5195604 + ... + 5218746.

Almost surely, 2^120509651025 is an apocalyptic number.

120509651025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120509651025 is the 347145-th square number.

120509651025 is the 173573-rd centered octagonal number.

It is an amenable number.

120509651025 is a deficient number, since it is larger than the sum of its proper divisors (95345850954).

120509651025 is an frugal number, since it uses more digits than its factorization.

120509651025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46302 (or 23151 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Multiplying 120509651025 by its sum of digits (36), we get a square (4338347436900 = 2082870²).

The spelling of 120509651025 in words is "one hundred twenty billion, five hundred nine million, six hundred fifty-one thousand, twenty-five".