10077258241 has 2 divisors, whose sum is σ = 10077258242. Its totient is φ = 10077258240.

The previous prime is 10077258211. The next prime is 10077258251. The reversal of 10077258241 is 14285277001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7238606400 + 2838651841 = 85080^2 + 53279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10077258241 is a prime.

It is a super-2 number, since 2×10077258241² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10077258241.

It is not a weakly prime, because it can be changed into another prime (10077258211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038629120 + 5038629121.

It is an arithmetic number, because the mean of its divisors is an integer number (5038629121).

Almost surely, 2^10077258241 is an apocalyptic number.

It is an amenable number.

10077258241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077258241 is an equidigital number, since it uses as much as digits as its factorization.

10077258241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31360, while the sum is 37.

The spelling of 10077258241 in words is "ten billion, seventy-seven million, two hundred fifty-eight thousand, two hundred forty-one".