725077770527 has 32 divisors (see below), whose sum is σ = 815691587904. Its totient is φ = 638986752000.

The previous prime is 725077770509. The next prime is 725077770539.

725077770527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 725077770527 - 2¹⁶ = 725077704991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725077770127) 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, 11078483 + ... + 11143739.

It is an arithmetic number, because the mean of its divisors is an integer number (25490362122).

Almost surely, 2^725077770527 is an apocalyptic number.

725077770527 is a deficient number, since it is larger than the sum of its proper divisors (90613817377).

725077770527 is a wasteful number, since it uses less digits than its factorization.

725077770527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65579.

The product of its (nonzero) digits is 11764900, while the sum is 56.

It can be divided in two parts, 7250 and 77770527, that added together give a palindrome (77777777).

The spelling of 725077770527 in words is "seven hundred twenty-five billion, seventy-seven million, seven hundred seventy thousand, five hundred twenty-seven".