10157061515077 has 2 divisors, whose sum is σ = 10157061515078. Its totient is φ = 10157061515076.

The previous prime is 10157061515047. The next prime is 10157061515101. The reversal of 10157061515077 is 77051516075101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9976716056836 + 180345458241 = 3158594^2 + 424671^2 .

It is a cyclic number.

It is not a de Polignac number, because 10157061515077 - 2²³ = 10157053126469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10157061515047) 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, 5078530757538 + 5078530757539.

It is an arithmetic number, because the mean of its divisors is an integer number (5078530757539).

Almost surely, 2^{10157061515077} is an apocalyptic number.

It is an amenable number.

10157061515077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10157061515077 is an equidigital number, since it uses as much as digits as its factorization.

10157061515077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 257250, while the sum is 46.

The spelling of 10157061515077 in words is "ten trillion, one hundred fifty-seven billion, sixty-one million, five hundred fifteen thousand, seventy-seven".