247391838225 has 135 divisors (see below), whose sum is σ = 533410193547. Its totient is φ = 113021788320.

The previous prime is 247391838167. The next prime is 247391838227. The reversal of 247391838225 is 522838193742.

The square root of 247391838225 is 497385.

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

247391838225 is a `hidden beast` number, since 2 + 473 + 91 + 8 + 3 + 82 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89061061761 + 158330776464 = 298431^2 + 397908^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 247391838225 - 2⁹ = 247391837713 is a prime.

It is a super-2 number, since 2×247391838225² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247391838227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 156675486 + ... + 156677064.

Almost surely, 2^247391838225 is an apocalyptic number.

247391838225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

247391838225 is the 497385-th square number.

247391838225 is the 248693-rd centered octagonal number.

It is an amenable number.

247391838225 is an abundant number, since it is smaller than the sum of its proper divisors (286018355322).

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

247391838225 is an frugal number, since it uses more digits than its factorization.

247391838225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 1594 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 247391838225 in words is "two hundred forty-seven billion, three hundred ninety-one million, eight hundred thirty-eight thousand, two hundred twenty-five".