253705641 has 16 divisors (see below), whose sum is σ = 388608384. Its totient is φ = 144221184.

The previous prime is 253705619. The next prime is 253705687. The reversal of 253705641 is 146507352.

It is not a de Polignac number, because 253705641 - 2⁵ = 253705609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253705141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27246 + ... + 35351.

It is an arithmetic number, because the mean of its divisors is an integer number (24288024).

Almost surely, 2^253705641 is an apocalyptic number.

253705641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253705641 is a deficient number, since it is larger than the sum of its proper divisors (134902743).

253705641 is a wasteful number, since it uses less digits than its factorization.

253705641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62800.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 253705641 is about 15928.1399102343. The cubic root of 253705641 is about 633.0578151236.

The spelling of 253705641 in words is "two hundred fifty-three million, seven hundred five thousand, six hundred forty-one".