725513516 has 48 divisors (see below), whose sum is σ = 1568388864. Its totient is φ = 285961536.

The previous prime is 725513447. The next prime is 725513519. The reversal of 725513516 is 615315527.

It is not an unprimeable number, because it can be changed into a prime (725513519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99491 + ... + 106533.

It is an arithmetic number, because the mean of its divisors is an integer number (32674768).

Almost surely, 2^725513516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725513516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784194432).

725513516 is an abundant number, since it is smaller than the sum of its proper divisors (842875348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725513516 is a wasteful number, since it uses less digits than its factorization.

725513516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7348 counting only the distinct ones).

The product of its digits is 31500, while the sum is 35.

The square root of 725513516 is about 26935.3581004597. The cubic root of 725513516 is about 898.5629395400.

It can be divided in two parts, 72551 and 3516, that added together give a palindrome (76067).

The spelling of 725513516 in words is "seven hundred twenty-five million, five hundred thirteen thousand, five hundred sixteen".