120253653 has 28 divisors (see below), whose sum is σ = 194182380. Its totient is φ = 73996416.

The previous prime is 120253621. The next prime is 120253657. The reversal of 120253653 is 356352021.

120253653 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 5 + 3 + 653 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15539364 + 104714289 = 3942^2 + 10233^2 .

It is not a de Polignac number, because 120253653 - 2⁵ = 120253621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120253657) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3133 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (6935085).

Almost surely, 2^120253653 is an apocalyptic number.

120253653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120253653 is a deficient number, since it is larger than the sum of its proper divisors (73928727).

120253653 is an equidigital number, since it uses as much as digits as its factorization.

120253653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 12705 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 120253653 is about 10966.0226609286. The cubic root of 120253653 is about 493.5897047785.

The spelling of 120253653 in words is "one hundred twenty million, two hundred fifty-three thousand, six hundred fifty-three".