254616530258957 has 2 divisors, whose sum is σ = 254616530258958. Its totient is φ = 254616530258956.

The previous prime is 254616530258927. The next prime is 254616530258983. The reversal of 254616530258957 is 759852035616452.

254616530258957 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., 230622462415081 + 23994067843876 = 15186259^2 + 4898374^2 .

It is a cyclic number.

It is not a de Polignac number, because 254616530258957 - 2²⁴ = 254616513481741 is a prime.

It is a super-2 number, since 2×254616530258957² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254616530258927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127308265129478 + 127308265129479.

It is an arithmetic number, because the mean of its divisors is an integer number (127308265129479).

It is a 1-persistent number, because it is pandigital, but 2⋅254616530258957 = 509233060517914 is not.

Almost surely, 2^{254616530258957} is an apocalyptic number.

It is an amenable number.

254616530258957 is a deficient number, since it is larger than the sum of its proper divisors (1).

254616530258957 is an equidigital number, since it uses as much as digits as its factorization.

254616530258957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320000, while the sum is 68.

The spelling of 254616530258957 in words is "two hundred fifty-four trillion, six hundred sixteen billion, five hundred thirty million, two hundred fifty-eight thousand, nine hundred fifty-seven".