253119541 has 2 divisors, whose sum is σ = 253119542. Its totient is φ = 253119540.

The previous prime is 253119523. The next prime is 253119547. The reversal of 253119541 is 145911352.

253119541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169780900 + 83338641 = 13030^2 + 9129^2 .

It is a cyclic number.

It is not a de Polignac number, because 253119541 - 2⁷ = 253119413 is a prime.

It is equal to p_13840492 and since 253119541 and 13840492 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253119547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126559770 + 126559771.

It is an arithmetic number, because the mean of its divisors is an integer number (126559771).

Almost surely, 2^253119541 is an apocalyptic number.

It is an amenable number.

253119541 is a deficient number, since it is larger than the sum of its proper divisors (1).

253119541 is an equidigital number, since it uses as much as digits as its factorization.

253119541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5400, while the sum is 31.

The square root of 253119541 is about 15909.7310159537. The cubic root of 253119541 is about 632.5699514879.

The spelling of 253119541 in words is "two hundred fifty-three million, one hundred nineteen thousand, five hundred forty-one".