725016487441 has 9 divisors (see below), whose sum is σ = 770188600699. Its totient is φ = 682354835104.

The previous prime is 725016487439. The next prime is 725016487477. The reversal of 725016487441 is 144784610527.

The square root of 725016487441 is 851479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 564459203025 + 160557284416 = 751305^2 + 400696^2 .

It is not a de Polignac number, because 725016487441 - 2¹ = 725016487439 is a prime.

It is a super-2 number, since 2×725016487441² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725016487411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14450100 + ... + 14500186.

Almost surely, 2^725016487441 is an apocalyptic number.

725016487441 is the 851479-th square number.

725016487441 is the 425740-th centered octagonal number.

It is an amenable number.

725016487441 is a deficient number, since it is larger than the sum of its proper divisors (45172113258).

725016487441 is an frugal number, since it uses more digits than its factorization.

725016487441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100208 (or 50104 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

Multiplying 725016487441 by its sum of digits (49), we get a square (35525807884609 = 5960353²).

The spelling of 725016487441 in words is "seven hundred twenty-five billion, sixteen million, four hundred eighty-seven thousand, four hundred forty-one".