725635121776071 has 32 divisors (see below), whose sum is σ = 1081310157332160. Its totient is φ = 429769132176384.

The previous prime is 725635121776069. The next prime is 725635121776073. The reversal of 725635121776071 is 170677121536527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (725635121776069) and next prime (725635121776073).

It is not a de Polignac number, because 725635121776071 - 2¹ = 725635121776069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725635121775996 and 725635121776014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725635121776073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024545676 + ... + 1025253681.

It is an arithmetic number, because the mean of its divisors is an integer number (33790942416630).

Almost surely, 2^{725635121776071} is an apocalyptic number.

725635121776071 is a deficient number, since it is larger than the sum of its proper divisors (355675035556089).

725635121776071 is a wasteful number, since it uses less digits than its factorization.

725635121776071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049799715.

The product of its (nonzero) digits is 25930800, while the sum is 60.

The spelling of 725635121776071 in words is "seven hundred twenty-five trillion, six hundred thirty-five billion, one hundred twenty-one million, seven hundred seventy-six thousand, seventy-one".