247923330561 has 27 divisors (see below), whose sum is σ = 360031213321. Its totient is φ = 164400903744.

The previous prime is 247923330547. The next prime is 247923330587. The reversal of 247923330561 is 165033329742.

The square root of 247923330561 is 497919.

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

247923330561 is a `hidden beast` number, since 24 + 7 + 9 + 2 + 33 + 30 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204760775025 + 43162555536 = 452505^2 + 207756^2 .

It is not a de Polignac number, because 247923330561 - 2¹⁵ = 247923297793 is a prime.

It is a super-2 number, since 2×247923330561² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247924330561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 401820325 + ... + 401820941.

Almost surely, 2^247923330561 is an apocalyptic number.

247923330561 is the 497919-th square number.

247923330561 is the 248960-th centered octagonal number.

It is an amenable number.

247923330561 is a deficient number, since it is larger than the sum of its proper divisors (112107882760).

247923330561 is an frugal number, since it uses more digits than its factorization.

247923330561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 247923330561 in words is "two hundred forty-seven billion, nine hundred twenty-three million, three hundred thirty thousand, five hundred sixty-one".