249513616 has 45 divisors (see below), whose sum is σ = 532860643. Its totient is φ = 113099360.

The previous prime is 249513613. The next prime is 249513617. The reversal of 249513616 is 616315942.

The square root of 249513616 is 15796.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249513611) 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, 694845 + ... + 695203.

Almost surely, 2^249513616 is an apocalyptic number.

249513616 is the 15796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249513616

249513616 is an abundant number, since it is smaller than the sum of its proper divisors (283347027).

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

249513616 is an equidigital number, since it uses as much as digits as its factorization.

249513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 372 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The cubic root of 249513616 is about 629.5517227596.

The spelling of 249513616 in words is "two hundred forty-nine million, five hundred thirteen thousand, six hundred sixteen".