253119561 has 16 divisors (see below), whose sum is σ = 345364800. Its totient is φ = 164848320.

The previous prime is 253119547. The next prime is 253119571. The reversal of 253119561 is 165911352.

It is not a de Polignac number, because 253119561 - 2¹⁵ = 253086793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253119541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22626 + ... + 31908.

It is an arithmetic number, because the mean of its divisors is an integer number (21585300).

Almost surely, 2^253119561 is an apocalyptic number.

It is an amenable number.

253119561 is a deficient number, since it is larger than the sum of its proper divisors (92245239).

253119561 is a wasteful number, since it uses less digits than its factorization.

253119561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496.

The product of its digits is 8100, while the sum is 33.

The square root of 253119561 is about 15909.7316444999. The cubic root of 253119561 is about 632.5699681485.

The spelling of 253119561 in words is "two hundred fifty-three million, one hundred nineteen thousand, five hundred sixty-one".