61525567567153 has 2 divisors, whose sum is σ = 61525567567154. Its totient is φ = 61525567567152.

The previous prime is 61525567567049. The next prime is 61525567567181. The reversal of 61525567567153 is 35176576552516.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59849223667984 + 1676343899169 = 7736228^2 + 1294737^2 .

It is a cyclic number.

It is not a de Polignac number, because 61525567567153 - 2³⁷ = 61388128613681 is a prime.

It is not a weakly prime, because it can be changed into another prime (61525567367153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30762783783576 + 30762783783577.

It is an arithmetic number, because the mean of its divisors is an integer number (30762783783577).

Almost surely, 2^{61525567567153} is an apocalyptic number.

It is an amenable number.

61525567567153 is a deficient number, since it is larger than the sum of its proper divisors (1).

61525567567153 is an equidigital number, since it uses as much as digits as its factorization.

61525567567153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 198450000, while the sum is 64.

The spelling of 61525567567153 in words is "sixty-one trillion, five hundred twenty-five billion, five hundred sixty-seven million, five hundred sixty-seven thousand, one hundred fifty-three".