125261000153 has 2 divisors, whose sum is σ = 125261000154. Its totient is φ = 125261000152.

The previous prime is 125261000131. The next prime is 125261000173. The reversal of 125261000153 is 351000162521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96852908944 + 28408091209 = 311212^2 + 168547^2 .

It is an emirp because it is prime and its reverse (351000162521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125261000153 - 2¹⁴ = 125260983769 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (125261000173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62630500076 + 62630500077.

It is an arithmetic number, because the mean of its divisors is an integer number (62630500077).

Almost surely, 2^125261000153 is an apocalyptic number.

It is an amenable number.

125261000153 is a deficient number, since it is larger than the sum of its proper divisors (1).

125261000153 is an equidigital number, since it uses as much as digits as its factorization.

125261000153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 125261000153 its reverse (351000162521), we get a palindrome (476261162674).

The spelling of 125261000153 in words is "one hundred twenty-five billion, two hundred sixty-one million, one hundred fifty-three", and thus it is an aban number.